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<< PHYSICS FOR SCIENTISTS AND ENGINEERS 9TH EDITION BY SERWAY TEST BANK | Plants And Society 6th Edition by Estelle Levetin Test Bank >> |

** WITH ANSWERS**

Physics Principles with Applications 7th Edition Giancoli By Test Bank

chapter 2

Exam

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

1) Consider a deer that runs from point A to point B. The distance the deer runs can be greater than

the magnitude of its displacement, but the magnitude of the displacement can never be greater

than the distance it runs.

A) True B) False

1)

2) Which of the following quantities has units of a displacement? (There could be more than one

correct choice.)

A) 186,000 mi

B) 32 ft/s2 vertically downward

C) 9.8 m/s2

D) -120 m/s

E) 40 km southwest

2)

3) Suppose that an object travels from one point in space to another. Make a comparison between the

magnitude of the displacement and the distance traveled by this object.

A) The displacement can be either greater than, smaller than, or equal to the distance traveled.

B) The displacement is always equal to the distance traveled.

C) The displacement is either less than or equal to the distance traveled.

D) The displacement is either greater than or equal to the distance traveled.

3)

4) Consider a car that travels between points A and B. The cars average speed can be greater than

the magnitude of its average velocity, but the magnitude of its average velocity can never be

greater than its average speed.

A) True B) False

4)

5) Which of the following quantities has units of a velocity? (There could be more than one correct

choice.)

A) 186,000 mi

B) 9.8 m/s downward

C) 9.8 m/s2 downward

D) 40 km southwest

E) -120 m/s

5)

6) When is the average velocity of an object equal to the instantaneous velocity?

A) never

B) when the velocity is constant

C) only when the velocity is increasing at a constant rate

D) only when the velocity is decreasing at a constant rate

E) always

6)

1

7) You drive 6.0 km at 50 km/h and then another 6.0 km at 90 km/h. Your average speed over the 12

km drive will be

A) less than 70 km/h.

B) greater than 70 km/h.

C) equal to 70 km/h.

D) exactly 38 km/h.

E) It cannot be determined from the information given because we must also know directions

traveled.

7)

8) If the velocity of an object is zero at some point, then its acceleration must also be zero at that

point.

A) True B) False

8)

9) Which of the following situations is impossible?

A) An object has constant non-zero acceleration and changing velocity.

B) An object has zero velocity but non-zero acceleration.

C) An object has constant non-zero velocity and changing acceleration.

D) An object has velocity directed east and acceleration directed west.

E) An object has velocity directed east and acceleration directed east.

9)

10) If the acceleration of an object is zero, then that object cannot be moving.

A) True B) False

10)

11) If the velocity of an object is zero, then that object cannot be accelerating.

A) True B) False

11)

12) Suppose that a car traveling to the west begins to slow down as it approaches a traffic light. Which

of the following statements about its acceleration is correct?

A) Since the car is slowing down, its acceleration must be negative.

B) The acceleration is toward the east.

C) The acceleration is toward the west.

D) The acceleration is zero.

12)

13) An auto manufacturer advertises that their car can go from zero to sixty in eight seconds. This is

a description of what characteristic of the cars motion?

A) instantaneous speed

B) average acceleration

C) average speed

D) displacement

E) instantaneous acceleration

13)

14) An object moving in the +x direction experiences an acceleration of +2.0 m/s2. This means the

object

A) is increasing its velocity by 2.0 m/s every second.

B) travels 2.0 m in every second.

C) is decreasing its velocity by 2.0 m/s every second.

D) is traveling at 2.0 m/s.

14)

2

15) Suppose that a car traveling to the east (+x direction) begins to slow down as it approaches a traffic

light. Which statement concerning its acceleration must be correct?

A) Its acceleration is decreasing in magnitude as the car slows down.

B) Its acceleration is in the -x direction.

C) Its acceleration is zero.

D) Its acceleration is in the +x direction.

15)

16) Suppose that a car traveling to the west (-x direction) begins to slow down as it approaches a

traffic light. Which statement concerning its acceleration must be correct?

A) Its acceleration is zero.

B) Its acceleration is positive.

C) Its acceleration is negative.

D) Its acceleration is decreasing in magnitude as the car slows down.

16)

17) Suppose that an object is moving with a constant velocity. Which statement concerning its

acceleration must be correct?

A) The acceleration is constantly increasing.

B) The acceleration is equal to zero.

C) The acceleration is constantly decreasing.

D) The acceleration is a constant non-zero value.

17)

18) If the velocity of an object is zero at one instant, what is true about the acceleration of that object?

(There could be more than one correct choice.)

A) The acceleration could be negative. B) The acceleration could be zero.

C) The acceleration could be positive. D) The acceleration must be zero.

18)

19) Under what condition is average velocity equal to the average of the objects initial and final

velocity?

A) The acceleration is constant.

B) The acceleration must be constantly decreasing.

C) This can only occur if there is no acceleration.

D) This can occur only when the velocity is zero.

E) The acceleration must be constantly increasing.

19)

20) A racing car accelerates uniformly from rest along a straight track. This track has markers spaced

at equal distances along it from the start, as shown in the figure. The car reaches a speed of 140

km/h as it passes marker 2.

Where on the track was the car when it was traveling at half this speed, that is at 70 km/h?

A) At marker 1

B) Before marker 1

C) Between marker 1 and marker 2

20)

3

21) When a ball is thrown straight up with no air resistance, the acceleration at its highest point

A) reverses from upward to downward

B) is downward

C) is upward

D) reverses from downward to upward

E) is zero

21)

22) A rock from a volcanic eruption is launched straight up into the air with no appreciable air

resistance. Which one of the following statements about this rock while it is in the air is correct?

A) On the way up, its acceleration is downward and its velocity is upward, and at the highest

point both its velocity and acceleration are zero.

B) On the way down, both its velocity and acceleration are downward, and at the highest point

both its velocity and acceleration are zero.

C) The acceleration is downward at all points in the motion.

D) The acceleration is downward at all points in the motion except that is zero at the highest

point.

E) Throughout the motion, the acceleration is downward, and the velocity is always in the same

direction as the acceleration.

22)

23) Suppose a ball is thrown straight up and experiences no appreciable air resistance. What is its

acceleration just before it reaches its highest point?

A) exactly g B) slightly greater than g

C) zero D) slightly less than g

23)

24) A ball is thrown straight up, reaches a maximum height, then falls to its initial height. Which of the

following statements about the direction of the velocity and acceleration of the ball as it is going up

is correct?

A) Both its velocity and its acceleration point upward.

B) Its velocity points downward and its acceleration points upward.

C) Its velocity points upward and its acceleration points downward.

D) Both its velocity and its acceleration points downward.

24)

25) A ball is thrown downward in the absence of air resistance. After it has been released, which

statement(s) concerning its acceleration is correct? (There could be more than one correct choice.)

A) Its acceleration is constant.

B) Its acceleration is zero.

C) Its acceleration is constantly decreasing.

D) Its acceleration is greater than g.

E) Its acceleration is constantly increasing.

25)

26) A 10-kg rock and a 20-kg rock are thrown upward with the same initial speed v0 and experience

no significant air resistance. If the 10-kg rock reaches a maximum height h, what maximum height

will the 20-kg ball reach?

A) h B) h/2 C) 4h D) h/4 E) 2h

26)

27) A 10-kg rock and 20-kg rock are dropped from the same height and experience no significant air

resistance. If it takes the 20-kg rock a time T to reach the ground, what time will it take the 10-kg

rock to reach the ground?

A) T/2 B) 4T C) T D) T/4 E) 2T

27)

4

28) A 10-kg rock and a 20-kg rock are dropped at the same time and experience no significant air

resistance. If the 10-kg rock falls with acceleration a, what is the acceleration of the 20-kg rock?

A) 4a B) a C) a/4 D) a/2 E) 2a

28)

29) Two objects are dropped from a bridge, an interval of 1.0 s apart. Air resistance is negligible.

During the time that both objects continue to fall, their separation

A) stays constant.

B) increases.

C) decreases at first, but then stays constant.

D) decreases.

E) increases at first, but then stays constant.

29)

30) From the edge of a roof top you toss a green ball upwards with initial speed v0 and a blue ball

downwards with the same initial speed. Air resistance is negligible. When they reach the ground

below

A) the green ball will be moving faster than the blue ball.

B) the two balls will have the same speed.

C) the blue ball will be moving faster than the green ball.

30)

31) Ball A is dropped from the top of a building. One second later, ball B is dropped from the same

building. Neglect air resistance. As time progresses, the difference in their speeds

A) remains constant.

B) increases.

C) decreases.

D) cannot be determined from the information given.

31)

32) Two objects are thrown from the top of a tall building. One is thrown up, and the other is thrown

down, both with the same initial speed. What are their speeds when they hit the street? Neglect air

resistance.

A) They are traveling at the same speed.

B) The one thrown down is traveling faster.

C) The one thrown up is traveling faster.

D) It is impossible to tell because the height of the building is not given.

32)

33) Brick A is dropped from the top of a building. Brick B is thrown straight down from the same

building, and neither one experiences appreciable air resistance. Which statement about their

accelerations is correct?

A) The acceleration of B is greater than the acceleration of A.

B) The two bricks have exactly the same acceleration.

C) Neither brick has any acceleration once it is released.

D) The acceleration of A is greater than the acceleration of B.

33)

34) An object is moving with constant non-zero velocity in the +x direction. The position versus time

graph of this object is

A) a horizontal straight line.

B) a vertical straight line.

C) a straight line making an angle with the time axis.

D) a parabolic curve.

34)

5

35) An object is moving with constant non-zero acceleration in the +x direction. The position versus

time graph of this object is

A) a horizontal straight line.

B) a vertical straight line.

C) a straight line making an angle with the time axis.

D) a parabolic curve.

35)

36) An object is moving with constant non-zero velocity in the +x direction. The velocity versus time

graph of this object is

A) a horizontal straight line.

B) a vertical straight line.

C) a straight line making an angle with the time axis.

D) a parabolic curve.

36)

37) An object is moving with constant non-zero acceleration in the +x direction. The velocity versus

time graph of this object is

A) a horizontal straight line.

B) a vertical straight line.

C) a straight line making an angle with the time axis.

D) a parabolic curve.

37)

38) The slope of a position versus time graph gives

A) the distance traveled. B) displacement.

C) acceleration. D) velocity.

38)

39) The slope of a velocity versus time graph gives

A) acceleration. B) the distance traveled.

C) velocity. D) displacement.

39)

40) If the position versus time graph of an object is a horizontal line, the object is

A) moving with constant non-zero speed.

B) moving with constant non-zero acceleration.

C) at rest.

D) moving with increasing speed.

40)

41) If the velocity versus time graph of an object is a horizontal line, the object is

A) moving with zero acceleration.

B) moving with constant non-zero acceleration.

C) at rest.

D) moving with increasing speed.

41)

42) If the velocity versus time graph of an object is a straight line making an angle of +30 (counter

clockwise) with the time axis, the object is

A) moving with constant non-zero speed.

B) moving with constant non-zero acceleration.

C) at rest.

D) moving with increasing acceleration.

42)

6

43) The motions of a car and a truck along a straight road are represented by the velocity-time graphs

in the figure. The two vehicles are initially alongside each other at time t = 0.

At time T, what is true of the distances traveled by the vehicles since time t = 0?

A) They will have traveled the same distance.

B) The car will have travelled further than the truck.

C) The truck will not have moved.

D) The truck will have travelled further than the car.

43)

44) Which of the following graphs represent an object at rest? (There could be more than one correct

choice.)

A) graph a B) graph b C) graph c D) graph d E) graph e

44)

7

45) Which of the following graphs represent an object having zero acceleration?

A) only graph a

B) only graph b

C) graphs b and c

D) graphs c and d

E) graphs a and b

45)

46) The figure shows a graph of the position x of two cars, C and D, as a function of time t.

According to this graph, which statements about these cars must be true? (There could be more

than one correct choice.)

A) The magnitude of the acceleration of car C is less than the magnitude of the acceleration of

car D.

B) Both cars have the same acceleration.

C) The cars meet at time t = 10 s.

D) The magnitude of the acceleration of car C is greater than the magnitude of the acceleration

of car D.

E) At time t = 10 s, both cars have the same velocity.

46)

8

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

47) The graph in the figure shows the position of an object as a function of time. The letters

H-L represent particular moments of time.

(a) At which moment in time is the speed of the object the greatest?

(b) At which moment in time is the speed of the object equal to zero?

47)

9

48) A child standing on a bridge throws a rock straight down. The rock leaves the childs hand

at time t = 0 s. If we take upward as the positive direction, which of the graphs shown

below best represents the velocity of the stone as a function of time?

48)

10

49) A child standing on a bridge throws a rock straight down. The rock leaves the childs hand

at time t = 0 s. If we take upward as the positive direction, which of the graphs shown

below best represents the acceleration of the stone as a function of time?

49)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

50) The motion of a particle is described in the velocity vs. time graph shown in the figure.

Over the nine-second interval shown, we can say that the speed of the particle

A) only increases.

B) decreases and then increases.

C) remains constant.

D) increases and then decreases.

E) only decreases.

50)

11

51) The graph in the figure shows the position of a particle as it travels along the x-axis.

At what value of t is the speed of the particle equal to 0 m/s?

A) 3 s B) 4 s C) 1 s D) 2 s E) 0 s

51)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

52) If, in the figure, you start from the Bakery, travel to the Cafe, and then to the Art Gallery

(a) what distance you have traveled?

(b) what is your displacement?

52)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

53) An object moves 15.0 m north and then 11.0 m south. Find both the distance it has traveled and

the magnitude of its displacement.

A) 26.0 m, 26.0 m B) 4.0 m, 4.0 m C) 4.0 m, 26.0 m D) 26.0 m, 4.0 m

53)

54) What must be your average speed in order to travel 350 km in 5.15 h?

A) 69.0 km/h B) 67.0 km/h C) 68.0 km/h D) 66.0 km/h

54)

55) A runner ran the marathon (approximately 42.0 km) in 2 hours and 57 min. What was the average

speed of the runner in m/s?

A) 3.95 m/s B) 14.2 m/s C) 14,200 m/s D) 124 m/s

55)

56) A light-year is the distance that light travels in one year. The speed of light is 3.00 108 m/s. How

many miles are there in one light-year? (1 mi = 1609 m, 1 y = 365 d)

A) 5.88 1015 mi B) 5.88 1012 mi C) 9.46 1012 mi D) 9.46 1015 mi

56)

57) If you are driving 72 km/h along a straight road and you look to the side for 4.0 s, how far do you

travel during this inattentive period?

A) 20 m B) 40 m C) 18 m D) 80 m

57)

12

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

58) If you run a complete loop around an outdoor track of length 400 m in 100 s, find your

(a) average velocity and (b) average speed.

58)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

59) A polar bear starts at the North Pole. It travels 1.0 km south, then 1.0 km east, and then 1.0 km

north to return to its starting point. This trip takes 45 min. What was the bears average speed?

A) 0.067 km/h B) 0.00 km/h C) 5.3 km/h D) 4.0 km/h

59)

60) A polar bear starts at the North Pole. It travels 1.0 km south, then 1.0 km east, and then 1.0 km

north to return to its starting point. This trip takes 45 min. What was the bears average velocity?

A) 0.067 km/h B) 5.3 km/h C) 0.00 km/h D) 4.0 km/h

60)

61) You are driving home on a weekend from school at 55 mi/h for 110 miles. It then starts to snow

and you slow to 35 mi/h. You arrive home after driving 4 hours and 15 minutes. How far is your

hometown from school?

A) 210 mi B) 190 mi C) 180 mi D) 200 mi

61)

62) A motorist travels 160 km at 80 km/h and 160 km at 100 km/h. What is the average speed of the

motorist for this trip?

A) 84 km/h B) 91 km/h C) 90 km/h D) 89 km/h

62)

63) A motorist travels for 3.0 h at 80 km/h and 2.0 h at 100 km/h. What is her average speed for the

trip?

A) 92 km/h B) 88 km/h C) 85 km/h D) 90 km/h

63)

64) An airplane travels at 300 mi/h south for 2.00 h and then at 250 mi/h north for 750 miles. What is

the average speed for the trip?

A) 275 mi/h B) 270 mi/h C) 280 mi/h D) 260 mi/h

64)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

65) A race car circles 10 times around a circular 8.0-km track in 20 min. Using SI units

(a) what is its average speed for the ten laps?

(b) what is its average velocity for the ten laps?

65)

66) A bat, flying toward the east at 2.0 m/s, emits a shriek that is reflected back to it from a

wall that is 20.0 m in front of the bat at the instant the shriek is emitted. Sound travels at

340 m/s in the air. How many milliseconds after emitting the shriek does the bat hear the

reflected echo from the wall?

66)

67) If, in the figure, you start from the Bakery, travel to the Cafe, and then to the Art Gallery in

2.00 hours, what is your

(a) average speed?

(b) average velocity?

67)

13

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

68) A runner runs around a track consisting of two parallel lines 96 m long connected at the ends by

two semicircles with a radius of 49 m. She completes one lap in 100 seconds. What is her average

velocity?

A) 10 m/s B) 5.0 m/s C) 2.5 m/s D) 1.3 m/s E) 0 m/s

68)

69) A runner runs around a track consisting of two parallel lines 96 m long connected at the ends by

two semicircles with a radius of 49 m. She completes one lap in 100 seconds. What is her average

speed?

A) 0 m/s B) 2.5 m/s C) 10 m/s D) 1.3 m/s E) 5.0 m/s

69)

70) You leave on a 549-mi trip in order to attend a meeting that will start 10.8 h after you begin your

trip. Along the way you plan to stop for dinner. If the fastest you can safely drive is 65 mi/h, what

is the longest time you can spend over dinner and still arrive just in time for the meeting?

A) 1.9 h B) 2.6 h

C) 2.4 h D) You cant stop at all.

70)

71) A motorist makes a trip of 180 miles. For the first 90 miles she drives at a constant speed of 30

mph. At what constant speed must she drive the remaining distance if her average speed for the

total trip is to be 40 mph?

A) 45 mph B) 55 mph C) 52.5 mph D) 60 mph E) 50 mph

71)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

72) Human reaction times are worsened by alcohol. How much further (in feet) would a drunk

drivers car travel before he hits the brakes than a sober drivers car? Assume that both are

initially traveling at 50.0 mi/h and their cars have the same acceleration while slowing

down, and that the sober driver takes 0.33 s to hit the brakes in a crisis, while the drunk

driver takes 1.0 s to do so. (5280 ft = 1 mi)

72)

73) Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has

a speed of 3.0 m/s and Betty has a speed of 2.0 m/s. How long does it take for them to

meet?

73)

74) The position x(t) of a particle as a function of time t is given by the equation x(t) = (3.5

m/s)t (5.0 m/s2)t2. What is the average velocity of the particle between t = 0.30 s and t =

0.40 s?

74)

75) A water rocket can reach a speed of 75 m/s in 0.050 seconds from launch. What is its

average acceleration?

75)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

76) An airplane increases its speed at the average rate of 15 m/s2. How much time does it take to

increase its speed from 100 m/s to 160 m/s?

A) 4.0 s B) 0.25 s C) 17 s D) 0.058 s

76)

14

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

77) The captain orders his starship to accelerate from rest at a rate of 1 g (1 g = 9.8 m/s2).

How many days does it take the starship to reach 10% the speed of light? (Light travels at

3.0 108 m/s.)

77)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

78) A car is traveling north at 17.7 m/s. After 12 s its velocity is 14.1 m/s in the same direction. Find the

magnitude and direction of the cars average acceleration.

A) 2.7 m/s2, south B) 2.7 m/s2, north

C) 0.30 m/s2, south D) 0.30 m/s2, north

78)

79) A racquetball strikes a wall with a speed of 30 m/s and rebounds in the opposite direction with a

speed of 26 m/s. The collision takes 20 ms. What is the average acceleration of the ball during the

collision with the wall?

A) 2800 m/s2 B) 0 m/s2 C) 1500 m/s2 D) 1300 m/s2 E) 200 m/s2

79)

80) The velocity v(t) of a particle as a function of time is given by v(t) = (2.3 m/s) + (4.1 m/s2)t (6.2

m/s3)t2. What is the average acceleration of the particle between t = 1.0 s and t = 2.0 s?

A) 13 m/s2 B) 0 m/s2 C) -15 m/s2 D) 15 m/s2 E) -13 m/s2

80)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

81) If a car accelerates at a uniform 4.0 m/s2, how long will it take to reach a speed of 80

km/hr, starting from rest?

81)

82) A car that is initially moving at 7.50 m/s begins to accelerate forward uniformly at 0.550

m/s2.

(a) How long after beginning to accelerate does it take the car to move 3.50 km?

(b) How fast is the car moving just as it has traveled 3.50 km?

82)

83) An auto accelerates forward from 7.0 m/s at a uniform 0.71 m/s2. It travels a distance of

1.033 km while accelerating.

(a) How fast is the auto moving just as it is traveled the 1.033 km?

(b) How many seconds did it take to travel the 1.033 km?

83)

84) In a ballistics test, a bullet moving horizontally with a speed of 500 m/s strikes a sandbag

and penetrates a distance of 10.0 cm.

(a) What is the magnitude of the average acceleration of the bullet in the sandbag?

(b) How many milliseconds does it take the bullet to come to rest in the sandbag?

84)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

85) A certain test car can go from rest to 32.0 m/s in 3.88 s. The same car can come to a full stop from

that speed in 4.14 s. What is the ratio of the magnitude of the starting acceleration to the stopping

acceleration?

A) 0.878 B) 0.937 C) 1.07 D) 1.14

85)

15

86) A car initially traveling at 60 km/h accelerates at a constant rate of 2.0 m/s2. How much time is

required for the car to reach a speed of 90 km/h?

A) 4.2 s B) 45 s C) 30 s D) 15 s

86)

87) A cart starts from rest and accelerates uniformly at 4.0 m/s2 for 5.0 s. It next maintains the velocity

it has reached for 10 s. Then it slows down at a steady rate of 2.0 m/s2 for 4.0 s. What is the final

speed of the car?

A) 20 m/s B) 10 m/s C) 16 m/s D) 12 m/s

87)

88) A car travels at 15 m/s for 10 s. It then speeds up with a constant acceleration of 2.0 m/s2 for 15 s.

At the end of this time, what is its velocity?

A) 45 m/s B) 375 m/s C) 30 m/s D) 15 m/s

88)

89) A cart with an initial velocity of 5.0 m/s to the right experiences a constant acceleration of 2.0 m/s2

to the right. What is the carts displacement during the first 6.0 s of this motion?

A) 55 m B) 66 m C) 80 m D) 10 m

89)

90) A jet plane is launched from a catapult on an aircraft carrier. In 2.0 s it reaches a speed of 42 m/s at

the end of the catapult. Assuming the acceleration is constant, how far did it travel during those

2.0 s?

A) 24 m B) 16 m C) 42 m D) 84 m

90)

91) A car starting from rest accelerates at a constant 2.0 m/s2 for 10 s. It then travels with constant

speed it has achieved for another 10 s. Then it finally slows to a stop with constant acceleration of

magnitude 2.0 m/s2. How far does it travel after starting?

A) 500 m B) 200 m C) 400 m D) 300 m

91)

92) A car increases its forward velocity uniformly from 40 m/s to 80 m/s while traveling a distance of

200 m. What is its acceleration during this time?

A) 12 m/s2 B) 9.6 m/s2 C) 8.0 m/s2 D) 24 m/s2

92)

93) An object starts from rest and undergoes uniform acceleration. During the first second it travels

5.0 m. How far will it travel during the third second?

A) 5.0 m B) 25 m C) 45 m D) 15 m

93)

94) An object is moving in a straight line with constant acceleration. Initially it is traveling at 16 m/s.

Three seconds later it is traveling at 10 m/s. How far does it move during this time?

A) 39 m B) 57 m C) 30 m D) 48 m

94)

95) A car starts from rest and accelerates uniformly at 3.0 m/s2 toward the north. A second car starts

from rest 6.0 s later at the same point and accelerates uniformly at 5.0 m/s2 toward the north.

How long after the second car starts does it overtake the first car?

A) 12 s B) 21 s C) 24 s D) 19 s

95)

16

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

96) A car with good tires on a dry road can decelerate (slow down) at a steady rate of about

5.0 m/s2 when braking. If a car is initially traveling at 55 mi/h

(a) how much time does it take the car to stop?

(b) what is its stopping distance?

96)

97) At the instant a traffic light turns green, a car that has been waiting at the intersection

starts ahead with a constant acceleration of 2.00 m/s2. At that moment a truck traveling

with a constant velocity of 15.0 m/s overtakes and passes the car.

(a) Calculate the time necessary for the car to reach the truck.

(b) Calculate the distance beyond the traffic light that the car will pass the truck.

(c) Determine the speed of the car when it passes the truck.

97)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

98) Starting from rest, a dragster travels a straight 1/4 mi racetrack in 6.70 s with constant acceleration.

What is its velocity when it crosses the finish line?

A) 269 mi/h B) 296 mi/h C) 188 mi/h D) 135 mi/h

98)

99) A bicyclist starts a timed race at 6.0 mi/h. In order to win, he must average 21 mi/h. Assuming

constant acceleration from the start, how fast must he be traveling at the end of the race?

A) 36 mi/h B) 24 mi/h C) 30 mi/h D) 42 mi/h

99)

100) A car accelerates from 5.0 m/s to 21 m/s at a constant rate of 3.0 m/s2. How far does it travel while

accelerating?

A) 69 m B) 207 m C) 117 m D) 41 m

100)

101) An airplane needs to reach a forward velocity of 203.0 km/h to take off. On a 2000-m runway,

what is the minimum uniform acceleration necessary for the plane to take flight if it starts from

rest?

A) 1.0 m/s2 B) 0.95 m/s2 C) 0.87 m/s2 D) 0.79 m/s2

101)

102) Assuming equal rates of uniform acceleration in both cases, how much further would you travel if

braking from 56 mi/h to rest than from 28 mi/h?

A) 4 times farther B) 3.2 times farther

C) 5.2 times farther D) 4.8 times farther

102)

103) Acceleration is sometimes expressed in multiples of g, where g = 9.8 m/s2 is the acceleration of an

object due to the earths gravity. In a car crash, the cars forward velocity may go from 29 m/s to

0 m/s in 0.15 s. How many gs are experienced, on average, by the driver?

A) 20 g B) 24 g C) 14 g D) 26 g

103)

104) A baseball is hit with a bat and, as a result, its direction is completely reversed and its speed is

doubled. If the actual contact with the bat lasts 0.45 s, what is the ratio of the magnitude of the

average acceleration of the ball to its original speed?

A) 0.15 s-1 B) 6.7 s-1 C) 4.4 s-1 D) 2.2 s-1

104)

17

105) A train starts from rest and accelerates uniformly until it has traveled 5.6 km and acquired a

forward velocity of 42 m/s. The train then moves at a constant velocity of 42 m/s for 420 s. The

train then slows down uniformly at 0.065 m/s2, until it is brought to a halt. The acceleration during

the first 5.6 km of travel is closest to which of the following?

A) 0.20 m/s2 B) 0.14 m/s2 C) 0.16 m/s2 D) 0.19 m/s2 E) 0.17 m/s2

105)

106) A train starts from rest and accelerates uniformly until it has traveled 2.1 km and acquired a

forward velocity of 24 m/s. The train then moves at a constant velocity of 24 m/s for 400 s. The

train then slows down uniformly at 0.065 m/s2, until it is brought to a halt. The distance traveled

by the train while slowing down is closest to

A) 4.0 km. B) 3.8 km. C) 4.2 km. D) 3.6 km. E) 4.4 km.

106)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

107) A soccer ball is released from rest at the top of a grassy incline. After 6.4 seconds the ball

has rolled 91 m with constant acceleration, and 1.0 s later it reaches the bottom of the

incline.

(a) What was the balls acceleration?

(b) How long was the incline?

107)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

108) A car starts from rest and accelerates at a steady 6.00 m/s2. How far does it travel in the first 3.00

s?

A) 36.0 m B) 54.0 m C) 27.0 m D) 18.0 m E) 9.00 m

108)

109) A car is moving with a constant acceleration. At time t = 5.0 s its velocity is 8.0 m/s in the forward

direction, and at time t = 8.0 s its velocity is 12.0 m/s forward. What is the distance traveled in that

interval of time?

A) 10 m B) 40 m C) 20 m D) 30 m E) 50 m

109)

110) An airplane starts from rest and accelerates at a constant 10.8 m/s2. What is its speed at the end of

a 400 m-long runway?

A) 93.0 m/s B) 4320 m/s C) 65.7 m/s D) 37.0 m/s E) 186 m/s

110)

111) A car is moving with a speed of 32.0 m/s. The driver sees an accident ahead and slams on the

brakes, causing the car to slow down with a uniform acceleration of magnitude 3.50 m/s2. How far

does the car travel after the driver put on the brakes until it comes to a stop?

A) 4.57 m B) 292 m C) 112 m D) 146 m E) 9.14 m

111)

112) A car is traveling with a constant speed when the driver suddenly applies the brakes, causing the

car to slow down with a constant acceleration of magnitude 3.50 m/s2. If the car comes to a stop in

a distance of 30.0 m, what was the cars original speed?

A) 10.2 m/s B) 210 m/s C) 105 m/s D) 315 m/s E) 14.5 m/s

112)

113) A car is traveling with a constant speed of 30.0 m/s when the driver suddenly applies the brakes,

causing the car to slow down with a constant acceleration. The car comes to a stop in a distance of

120 m. What was the acceleration of the car as it slowed down?

A) 4.50 m/s2 B) 4.25 m/s2 C) 4.75 m/s2 D) 4.00 m/s2 E) 3.75 m/s2

113)

18

114) A car is traveling at 26.0 m/s when the driver suddenly applies the brakes, causing the car to slow

down with constant acceleration. The car comes to a stop in a distance of 120 m. How fast was the

car moving when it was 60.0 m past the point where the brakes were applied?

A) 18.4 m/s B) 12.1 m/s C) 15.0 m/s D) 22.5 m/s E) 9.20 m/s

114)

115) Car A is traveling at 22.0 m/s and car B at 29.0 m/s. Car A is 300 m behind car B when the driver of

car A accelerates his car with a uniform forward acceleration of 2.40 m/s2. How long after car A

begins to accelerate does it take car A to overtake car B?

A) 316 s

B) 19.0 s

C) 5.50 s

D) 12.6 s

E) Car A never overtakes car B.

115)

116) A stone is thrown with an initial upward velocity of 7.0 m/s and experiences negligible air

resistance. If we take upward as the positive direction, what is the velocity of the stone after 0.50 s?

A) 4.9 m/s B) -4.9 m/s C) -2.1 m/s D) 2.1 m/s E) 0.00 m/s

116)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

117) An astronaut on a strange new planet having no atmosphere finds that she can jump up to

a maximum height of 27 m when her initial upward speed is 6.0 m/s. What is the

magnitude of the acceleration due to gravity on the planet?

117)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

118) A laser is thrown upward with a speed of 12 m/s on the surface of planet X where the acceleration

due to gravity is 1.5 m/s2 and there is no atmosphere. What is the maximum height reached by the

laser?

A) 8.0 m B) 18 m C) 144 m D) 48 m

118)

119) A laser is thrown upward with a speed of 12 m/s on the surface of planet X where the acceleration

due to gravity is 1.5 m/s2 and there is no atmosphere. How long does it take for the laser to reach

the maximum height?

A) 8.0 s B) 11 s C) 16 s D) 14 s

119)

120) An instrument is thrown upward with a speed of 15 m/s on the surface of planet X where the

acceleration due to gravity is 2.5 m/s2 and there is no atmosphere. How long does it take for the

instrument to return to where it was thrown?

A) 6.0 s B) 10 s C) 12 s D) 8.0 s

120)

121) A hammer is thrown upward with a speed of 14 m/s on the surface of planet X where the

acceleration due to gravity is 3.5 m/s2 and there is no atmosphere. What is the speed of the

hammer after 8.0 s?

A) 21 m/s B) 7.0 m/s C) 64 m/s D) 14 m/s

121)

122) Human reaction time is usually greater than 0.10 s. If your friend holds a ruler between your

fingers and releases it without warning, how far can you expect the ruler to fall before you catch it,

assuming negligible air resistance?

A) At least 3.0 cm B) At least 9.8 cm C) At least 4.9 cm D) At least 6.8 cm

122)

19

123) A ball is thrown upward at a velocity of 19.6 m/s. What is its velocity after 3.0 s, assuming

negligible air resistance?

A) 9.8 m/s upward B) 0 m/s

C) 9.8 m/s downward D) 19.6 m/s downward

123)

124) A bullet shot straight up returns to its starting point in 10 s. What is the initial speed of the bullet,

assuming negligible air resistance?

A) 98 m/s B) 25 m/s C) 9.8 m/s D) 49 m/s

124)

125) A ball is thrown straight up with a speed of 36 m/s. How long does it take to return to its starting

point, assuming negligible air resistance?

A) 15 s B) 7.3 s C) 3.7 s D) 11 s

125)

126) A ball is thrown downward from the top of a building with an initial speed of 25 m/s. It strikes the

ground after 2.0 s. How high is the building, assuming negligible air resistance?

A) 50 m B) 20 m C) 70 m D) 30 m

126)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

127) A ball is thrown straight up with a speed of 30 m/s, and air resistance is negligible.

(a) How long does it take the ball to reach the maximum height?

(b) What is the maximum height reached by the ball?

(c) What is its speed after 4.2 s?

127)

128) A foul ball is hit straight up into the air with a speed of 30 m/s, and air resistance is

negligible.

(a) Calculate the time required for the ball to rise to its maximum height.

(b) Calculate the maximum height reached by the ball above the point where it hit the bat.

(c) Determine the times at which the ball passes a point 25 m above the point where it was

hit by the bat.

(d) Explain why there are two answers to part (c).

128)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

129) A ball is projected upward at time t = 0 s, from a point on a flat roof 10 m above the ground. The

ball rises and then falls with insignificant air resistance, missing the roof, and strikes the ground.

The initial velocity of the ball is 58.5 m/s. Consider all quantities as positive in the upward

direction. At time t = 5.97 s, the vertical velocity of the ball is closest to

A) +175 m/s. B) +12 m/s. C) -175 m/s. D) 0 m/s. E) -12 m/s.

129)

130) A ball is projected upward at time t = 0 s, from a point on a flat roof 90 m above the ground. The

ball rises and then falls with insignificant air resistance, missing the roof, and strikes the ground.

The initial velocity of the ball is 80.5 m/s. Consider all quantities as positive in the upward

direction. The vertical velocity of the ball when it is 89 m above the ground is closest to

A) -81 m/s. B) -97 m/s. C) -32 m/s. D) -64 m/s. E) -48 m/s.

130)

131) A test rocket at ground level is fired straight up from rest with a net upward acceleration of 20

m/s2. After 4.0 s, the motor turns off but the rocket continues to coast upward with insignificant air

resistance. What maximum elevation does the rocket reach?

A) 330 m B) 410 m C) 160 m D) 320 m E) 490 m

131)

20

132) A toy rocket is launched vertically from ground level at time t = 0.00 s. The rocket engine provides

constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket

has risen to 64 m and acquired an upward velocity of 60 m/s. The rocket continues to rise with

insignificant air resistance in unpowered flight, reaches maximum height, and falls back to the

ground. The time interval during which the rocket engine provided the upward acceleration, is

closest to

A) 1.9 s. B) 2.3 s. C) 1.5 s. D) 2.1 s. E) 1.7 s.

132)

133) A toy rocket is launched vertically from ground level at time t = 0.00 s. The rocket engine provides

constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket

has risen to 81 m and acquired an upward velocity of 40 m/s. The rocket continues to rise with

insignificant air resistance in unpowered flight, reaches maximum height, and falls back to the

ground. The upward acceleration of the rocket during the burn phase is closest to

A) 9.9 m/s2. B) 8.7 m/s2. C) 9.0 m/s2. D) 9.6 m/s2. E) 9.3 m/s2.

133)

134) A toy rocket is launched vertically from ground level at time t = 0 s. The rocket engine provides

constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket

has risen to 49.0 m and acquired an upward velocity of 60.0 m/s. The rocket continues to rise with

insignificant air resistance in unpowered flight, reaches maximum height, and falls back to the

ground. The maximum height reached by the rocket is closest to

A) 256 m. B) 221 m. C) 209 m. D) 244 m. E) 233 m.

134)

135) A rock is projected upward from the surface of the Moon, at time t = 0 s, with an upward velocity

of 30.0 m/s. The acceleration due to gravity at the surface of the Moon is 1.62 m/s2, and the Moon

has no atmosphere. The height of the rock when it is descending with a speed of 20.0 m/s is closest

to

A) 115 m. B) 154 m. C) 135 m. D) 145 m. E) 125 m.

135)

136) A ball is thrown straight upward from ground level with a speed of 18 m/s. How much time passes

before the ball strikes the ground if we disregard air resistance?

A) 3.7 s B) 1.1 s C) 1.8 s D) 0.6 s

136)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

137) A rock is thrown directly upward from the edge of a flat roof of a building that is 56.3

meters tall. The rock misses the building on its way down, and is observed to strike the

ground 4.00 seconds after being thrown. Take the acceleration due to gravity to have

magnitude 9.80 m/s2 and neglect any effects of air resistance. With what speed was the

rock thrown?

137)

138) A package is dropped from a helicopter that is moving upward at 15 m/s. If it takes 8.0 s

before the package strikes the ground, how high above the ground was the package when

it was released? Neglect air resistance.

138)

139) At the same moment, one rock is dropped and one is thrown downward with an initial

velocity of 29 m/s from the top of a building that is 300 m tall. How much earlier does the

thrown rock strike the ground? Neglect air resistance.

139)

21

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

140) An object is dropped from a bridge. A second object is thrown downwards 1.0 s later. They both

reach the water 20 m below at the same instant. What was the initial speed of the second object?

Neglect air resistance.

A) 15 m/s B) 20 m/s C) 9.9 m/s D) 21 m/s E) 4.9 m/s

140)

141) To determine the height of a bridge above the water, a person drops a stone and measures the

time it takes for it to hit the water. If the time is 2.3 s, what is the height of the bridge? Neglect air

resistance.

A) 32 m B) 26 m C) 52 m D) 14 m E) 10 m

141)

142) To determine the height of a bridge above the water, a person drops a stone and measures the

time it takes for it to hit the water. If the height of the bridge is 41 m, how long will it take for the

stone to hit the water? Neglect air resistance.

A) 2.3 s B) 2.9 s C) 3.6 s D) 2.6 s E) 3.2 s

142)

143) An astronaut stands by the rim of a crater on the Moon, where the acceleration of gravity is 1.62

m/s2 and there is no air. To determine the depth of the crater, she drops a rock and measures the

time it takes for it to hit the bottom. If the time is 6.3 s, what is the depth of the crater?

A) 38 m B) 14 m C) 26 m D) 32 m E) 10 m

143)

144) An astronaut stands by the rim of a crater on the Moon, where the acceleration of gravity is 1.62

m/s2 and there is no air. To determine the depth of the crater, she drops a rock and measures the

time it takes for it to hit the bottom. If the depth of the crater is 120 m, how long does it take for the

rock to fall to the bottom of the crater?

A) 37.5 s B) 32.1 s C) 3.04 s D) 29.3 s E) 12.2 s

144)

145) An object is thrown upwards with a speed of 16 m/s. How long does it take it to reach a height of

7.0 m on the way up? Neglect air resistance.

A) 3.1 s B) 2.4 s C) 4.2 s D) 1.2 s E) 0.52 s

145)

146) An object is thrown upwards with a speed of 13 m/s. How long does it take to reach a height of 4.0

m above the projection point while descending? Neglect air resistance.

A) 2.3 s B) 1.2 s C) 3.1 s D) 4.2 s E) 0.42 s

146)

147) To determine the height of a flagpole, Abby throws a ball straight up and times it. She sees that the

ball goes by the top of the pole after 0.50 s and then reaches the top of the pole again after a total

elapsed time of 4.1 s. How high is the pole above the point where the ball was launched? Neglect

air resistance.

A) 16 m B) 13 m C) 10 m D) 18 m E) 26 m

147)

148) Abby throws a ball straight up and times it. She sees that the ball goes by the top of a flagpole after

0.50 s and reaches the level of the top of the pole after a total elapsed time of 4.1 s. What was the

speed of the ball at launch? Neglect air resistance.

A) 34 m/s B) 45 m/s C) 48 m/s D) 11 m/s E) 23 m/s

148)

22

149) Abby throws a ball straight up and times it. She sees that the ball goes by the top of a flagpole after

0.50 s and reaches the level of the top of the pole after a total elapsed time of 4.1 s. What was the

speed of the ball at as it passed the top of the flagpole? Neglect air resistance.

A) 33 m/s B) 6.4 m/s C) 29 m/s D) 16 m/s E) 18 m/s

149)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

150) The graph in the figure represents the velocity of a particle as it travels along the x-axis.

What is the average acceleration of the particle between t = 2.0 s and t = 4.0 s?

150)

151) The graph in the figure shows the position of a particle as a function of time as it travels

along the x-axis.

(a) What is the average speed of the particle between t = 2.0 s and t = 4.0 s?

(b) What is the average velocity of the particle between t = 2.0 s and t = 4.0 s?

151)

23

152) The graph in the figure shows the position of a particle as a function of time as it travels

along the x-axis.

(a) What is the magnitude of the average velocity of the particle between t = 1.0 s and t =

4.0 s?

(b) What is the average speed of the particle between t = 1.0 s and t = 4.0 s?

152)

153) The graph in the figure shows the position of a particle as it travels along the x-axis. What

is the magnitude of the instantaneous velocity of the particle when t = 1.0 s?

153)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

154) The graph in the figure shows the position of a particle as it travels along the x-axis. What is the

magnitude of the average velocity of the particle between t = 1.0 s and t = 4.0 s?

A) 0.67 m/s B) 0.50 m/s C) 1.0 m/s D) 1.3 m/s E) 0.25 m/s

154)

24

155) The graph in the figure shows the position of a particle as it travels along the x-axis. What is the

magnitude of the average speed of the particle between t = 1.0 s and t = 4.0 s?

A) 0.50 m/s B) 0.67 m/s C) 0.25 m/s D) 1.3 m/s E) 1.0 m/s

155)

156) The graph in the figure shows the velocity of a particle as it travels along the x-axis. What is the

magnitude of the average acceleration of the particle between t = 1.0 s and t = 4.0 s?

A) 1.7 m/s2 B) 2.0 m/s2 C) 0.33 m/s2 D) 2.5 m/s2 E) 3.0 m/s2

156)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

157) The graph in the figure shows the velocity of a particle as it travels along the x-axis. (a) In

what direction (+x or -x) is the acceleration at t = 0.5 s?

(b) In what direction (+x or -x) is the acceleration at t = 3.0 s?

(c) What is the average acceleration of the particle between t = 2.0 s and t = 4.0 s?

(d) At what value of t is the instantaneous acceleration equal to 0 m/s2?

157)

25

158) The figure shows a graph of the position of a moving object as a function of time. What is

the velocity of the object at each of the following times?

(a) At t = 1.0 s

(b) At t = 2.5 s

(c) At t = 4.0 s

(d) At t = 5.5 s

158)

159) The figure shows a graph of the position of a moving object as a function of time.

(a) What is the average velocity of the object from t = 0 s to t = 4.0 s?

(b) What is the average velocity of the object from t = 0 s to t = 6.0 s?

159)

160) The figure shows a graph of the velocity of an object as a function of time. What is the

acceleration of the object at the following times?

(a) At 1.0 s

(b) At 3.0 s

160)

26

161) The figure shows a graph of the velocity of an object as a function of time. What is the

average acceleration of the object over the following time intervals?

(a) From t = 0 s to t = 5.0 s

(b) From t = 0 s to t = 8.0 s

161)

27

Answer Key

Testname: UNTITLED2

1) A

2) A, E

3) C

4) A

5) B, E

6) B

7) A

8) B

9) C

10) B

11) B

12) B

13) B

14) A

15) B

16) B

17) B

18) A, B, C

19) A

20) B

21) B

22) C

23) A

24) C

25) A

26) A

27) C

28) B

29) B

30) B

31) A

32) A

33) B

34) C

35) D

36) A

37) C

38) D

39) A

40) C

41) A

42) B

43) D

44) A

45) E

46) B, C

47) (a) J (b) I

48) C

49) B

50) B

28

Answer Key

Testname: UNTITLED2

51) A

52) (a) 10.5 km (b) 2.50 km south

53) D

54) C

55) A

56) B

57) D

58) (a) 0 m/s (b) 4 m/s

59) D

60) C

61) B

62) D

63) B

64) B

65) (a) 67 m/s (b) 0 m/s

66) 117 ms

67) (a) 5.25 km/h (b) 1.25 km/h south

68) E

69) E

70) C

71) D

72) 49 ft

73) 20 seconds

74) 0.00 m/s

75) 1500 m/s2

76) A

77) 35 days

78) C

79) A

80) C

81) 5.6 s

82) (a) 1.00 102 s (b) 62.5 m/s

83) (a) 39 m/s (b) 45 s

84) (a) 1.25 106 m/s2 (b) 0.400 ms

85) C

86) A

87) D

88) A

89) B

90) C

91) C

92) A

93) B

94) A

95) B

96) (a) 4.9 s (b) 60 m

97) (a) 15.0 s (b) 225 m (c) 30.0 m/s

98) A

99) A

29

Answer Key

Testname: UNTITLED2

100) A

101) D

102) A

103) A

104) B

105) C

106) E

107) *a) 4.4 m/s2 (b) 120 m

108) C

109) D

110) A

111) D

112) E

113) E

114) A

115) B

116) D

117) 0.67 m/s2

118) D

119) A

120) C

121) D

122) C

123) C

124) D

125) B

126) C

127) (a) 3.1 s (b) 46 m (c) 11 m/s

128) (a) 3.1 s (b) 46 m (c) 1.0 s and 5.1 s

(d) One value for the ball traveling upward; one value for the ball traveling downward.

129) D

130) A

131) E

132) D

133) A

134) E

135) B

136) A

137) 5.53 m/s

138) 190 m

139) 2.4 s

140) A

141) B

142) B

143) D

144) E

145) E

146) A

147) C

30

Answer Key

Testname: UNTITLED2

148) E

149) E

150) 1.5 m/s2

151) (a) 1.0 m/s (b) 0 m/s

152) (a) 0.67 m/s (b) 1.3 m/s

153) 3.0 m/s

154) A

155) D

156) A

157) (a) -x (b) +x (c) 1.5 m/s2 (d) 1.0 s

158) (a) 10 m/s (b) 20 m/s (c) 0 m/s (d) -40 m/s

159) (a) 10 m/s (b) 0 m/s

160) (a) 10 m/s2 (b) 0 m/s2

161) (a) 2.0 m/s2 (b) -2.5 m/s2

31

chapter 16

Exam

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

1) Electrically neutral objects cannot exert an electrical force on each other, but they can exert a

gravitational force on each other.

A) True B) False

1)

2) If two objects are electrically attracted to each other,

A) the objects could be electrically neutral.

B) both objects must be positively charged.

C) one object must be negatively charged and the other object must be positively charged.

D) both objects must be negatively charged.

E) None of the above statements are absolutely true.

2)

3) A plastic rod is charged up by rubbing a wool cloth, and brought to an initially neutral metallic

sphere that is insulated from ground. It is allowed to touch the sphere for a few seconds, and then

is separated from the sphere by a small distance. After the rod is separated, the rod

A) is attracted to the sphere.

B) feels no force due to the sphere.

C) is repelled by the sphere.

3)

4) A negatively-charged plastic rod is brought close to (but does not touch) a neutral metal sphere

that is connected to ground. After waiting a few seconds, the ground connection is removed

(without touching the sphere), and after that the rod is also removed. The sphere is now

A) positively charged. B) neutral. C) negatively charged.

4)

5)

X and Y are two initially uncharged metal spheres on insulating stands, and they are in contact

with each other. A positively charged rod R is brought close to X as shown in part (a) of the figure.

Sphere Y is now moved away from X, as shown in part (b). What are the final charge states of X

and Y?

A) X is positive and Y is neutral.

B) X is negative and Y is positive.

C) Both X and Y are neutral.

D) Both X and Y are negative.

E) X is neutral and Y is positive.

5)

1

6) Two uncharged metal spheres, #1 and #2, are mounted on insulating support rods. A third metal

sphere, carrying a positive charge, is then placed near #2. Now a copper wire is momentarily

connected between #1 and #2 and then removed. Finally, sphere #3 is removed. In this final state

A) spheres #1 and #2 both carry negative charge.

B) spheres #1 and #2 both carry positive charge.

C) spheres #1 and #2 are still uncharged.

D) sphere #1 carries negative charge and #2 carries positive charge.

E) sphere #1 carries positive charge and #2 carries negative charge.

6)

7) A negatively-charged rod is brought close to (but does not touch) two neutral spheres that are in

contact with each other but insulated from the ground. If the two spheres are then separated, what

kind of charge will be on the spheres?

A) The sphere near the charged rod becomes negative and the other one becomes positive.

B) The spheres do not get any charge.

C) Both spheres become negative.

D) Both spheres become positive.

E) The sphere near the charged rod becomes positive and the other one becomes negative.

7)

8) Two tiny beads are 25 cm apart with no other charges or fields present. Bead A carries 10 C of

charge and bead B carries 1 C. Which one of the following statements is true about the

magnitudes of the electric forces on these beads?

A) The force on B is 10 times the force on A.

B) The force on A is 100 times the force on B.

C) The force on A is exactly equal to the force on B.

D) The force on A is 10 times the force on B.

E) The force on B is 100 times the force on A.

8)

9) Two very small plastic balls of equal mass are released from rest. One of them carries +10 C of

excess charge and the other one carries +1C of charge. No other charges or fields are present.

Which of the following statements are true about them as they move away from each other?

(There may be more than one correct choice.)

A) The acceleration of the balls keeps increasing.

B) The acceleration of the 10-C ball is 10 times that of the 1-C ball.

C) The balls always have accelerations of equal magnitude.

D) The speed of the balls keeps increasing.

E) The acceleration of the 1-C ball is 10 times that of the 10-C ball.

9)

10) In outer space, a positive charge q is released near a positive fixed charge Q, as shown in the figure.

As q moves away from Q, what is true about the motion of q? (There may be more than one correct

choice.)

A) It will move with increasing speed.

B) It will move with decreasing acceleration.

C) It will move with constant acceleration.

D) It will move with increasing acceleration.

E) It will move with decreasing speed.

10)

2

11) A small charged plastic ball is vertically above another charged small ball in a frictionless test tube

as shown in the figure. The balls are in equilibrium a distance d apart. If the charge on each ball is

doubled, the equilibrium distance between the balls in the test tube would become

A) 2d. B) 2d. C) 8d. D) d/4. E) 4d.

11)

12) A hydrogen nucleus, which has a charge +e, is situated to the left of a carbon nucleus, which has a

charge +6e. Which statement is true?

A) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is

less than the force exerted on the carbon nucleus.

B) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is

equal to the force exerted on the carbon nucleus.

C) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is

greater than the force exerted on the carbon nucleus.

D) The electrical force experienced by the hydrogen nucleus is to the right, and the magnitude is

equal to the force exerted on the carbon nucleus.

12)

13) Two identical small charged spheres are a certain distance apart, and each one initially experiences

an electrostatic force of magnitude F due to the other. With time, charge gradually diminishes on

both spheres by leaking off. When each of the spheres has lost half its initial charge, what will be

the magnitude of the electrostatic force on each one?

A) 1/2 F B) 1/4 F C) 1/16 F D)1/ 2F E) 1/8 F

13)

14) Two point charges,Q1 andQ2, are separated by a distanceR. If the magnitudes of both charges

are doubled and their separation is also doubled, what happens to the electrical force that each

charge exerts on the other one?

A) It is reduced by a factor of 2.

B) It remains the same.

C) It increases by a factor of 2 .

D) It increases by a factor of 2.

E) It increases by a factor of 4.

14)

3

15) Two point charges, Q1 and Q2, are separated by a distance R. If the magnitudes of both charges

are halved and their separation is also halved, what happens to the electrical force that each charge

exerts on the other one?

A) It increases by a factor of 2.

B) It increases by a factor of 8.

C) It increases by a factor of 4.

D) It remains the same.

E) It increases by a factor of 16.

15)

16) Three equal charges +Q are at three of the corners of a square of side d. A fourth charge +Q of

equal magnitude is at the center of the square as shown in the figure Which one of the arrows

shown represents the net force acting on the charge at the center of the square?

A) A B) B C) C D) D

16)

17) Four point charges of equal magnitudes but with varying signs are arranged on three of the

corners and at the center of the square of side d as shown in the figure. Which one of the arrows

shown represents the net force acting on the center charge?

A) A B) B C) C D) D

17)

4

18) Four point charges of equal magnitude but with varying signs are arranged on three of the corners

and at the center of the square of side d as shown in the figure. Which one of the arrows shown

represents the net force acting on the center charge?

A) A B) B C) C D) D

18)

19) Four point charges Q of equal magnitude and sign are arranged on three of the corners of the

square of side d as shown in the figure Which one of the arrows shown represents the net force

acting on the charge at the upper right hand corner of the square?

A) A B) B C) C D) D

19)

5

20) Four point charges of varying magnitude and sign are arranged on the corners of the square of

side d as shown in the figure. Which one of the arrows shown represents the net force acting on the

point charge with a charge +Q?

A) A B) B C) C D) D

20)

21) An electron and a proton are released simultaneously from rest and start moving toward each

other due to their electrostatic attraction, with no other forces present. Which of the following

statements are true just before they are about to collide? (There could be more than one correct

choice.)

A) They are closer to the to the initial position of the electron that to the initial position of the

proton.

B) The electrostatic force on the proton is greater than the electrostatic force on the electron.

C) They are closer to the to the initial position of the proton that to the initial position of the

electron.

D) They both have the same speed.

E) They are at the midpoint of their initial separation.

21)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

22) Two equal and opposite charges are a small distance apart, forming an electric dipole. A

positive charge +q is placed above these charges, as shown in the figure, equidistant from

both of them. Which diagram below best gives the direction of the net force the dipole

exerts on the charge +q?

22)

6

23) Two small identically charged balls are a certain distance apart. The vectors in the figure

show the magnitude and direction of the electrostatic force on each ball due to the other

one. Suppose that the charge on the left ball is now doubled (represented by two plus

signs). Which vector diagram below best represents the forces that now act on each of the

two balls?

23)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

24) An electron is initially moving to the right when it enters a uniform electric field directed upwards,

as shown in the figure. Which trajectory (X, Y, Z, or W) will the electron follow in the field?

A) trajectoryW B) trajectory X C) trajectory Y D) trajectory Z

24)

7

25) Four tiny charged particles (two having a charge +Q and two having a charge -Q) are distributed

on the x- and y-axes as shown in the figure. Each charge is equidistant from the origin. In which

direction is the net electric field at the point P on the y-axis?

A) directly left (-x direction)

B) directly up (in the +y direction)

C) upwards and towards the right

D) upwards and towards the left

E) The net field is zero, so there is no direction.

25)

26) The figure shows two unequal charges, +q and -Q. Charge -Q has greater magnitude than charge

+q. Point X is midway between the charges. In what section of the line will there be a point where

the resultant electric field is zero?

A) VW B) WX C) XY D) YZ

26)

27) The electric

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