Question 1

A 10-g bullet moving 1000 m/s strikes and passes through a 2.0-kg block initially at rest,as shown.The bullet emerges from the block with a speed of 400 m/s.To what maximum height will the block rise above its initial position?
​ 
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Accepted Answer

A)  78 cm
B)  66 cm
C)  56 cm
D)  46 cm
E)  37 cmF) B) and E)
G) None of the above

Question 2

The law of conservation of momentum applies to a collision between two bodies since

Accepted Answer

A)  they exert equal and opposite forces on each other.
B)  they exert forces on each other respectively proportional to their masses.
C)  they exert forces on each other respectively proportional to their velocities.
D)  they exert forces on each other respectively inversely proportional to their masses.
E)  their accelerations are proportional to their masses.F) B) and C)
G) A) and E)

Question 3

When two bodies of different masses collide,the impulses they exert on each other are

Accepted Answer

A)  equal for all collisions.
B)  equal but opposite for all collisions.
C)  equal but opposite only for elastic collisions.
D)  equal but opposite only for inelastic collisions.
E)  equal but opposite only when the bodies have equal but opposite accelerations.F) B) and E)
G) B) and D)

Question 4

A 3.0-kg mass sliding on a frictionless surface explodes into three 1.0-kg masses.After the explosion the velocities of the three masses are: (1) 9.0 m/s,north; (2) 4.0 m/s,30° south of west;and (3) 4.0 m/s,30° south of east.What was the magnitude of the original velocity of the 3.0-kg mass?

Accepted Answer

A)  1.7 m/s
B)  1.0 m/s
C)  1.3 m/s
D)  2.0 m/s
E)  2.8 m/sF) A) and C)
G) B) and C)

Question 5

In an elastic collision between two bodies of mass m1 and m2,with m2 initially at rest,mass 1 moves off at angle θ relative to the direction of its initial velocity and mass 2 at angle φ.An exam paper shows the equations below:
M1v1i
0
= m1v1f cosθ + m2v2f sinφ
= m1v1f sinθ + m2v2f cosφ
What error(s) has the student made?

Accepted Answer

A)  In the first equation,m2v2f sinφ should be m2v2f cosφ.
B)  In the second equation,m2v2f cosφ should be m2v2f sinφ.
C)  In the second equation,the plus sign between the terms on the right should be a minus sign.
D)  All of the errors listed above.
E)  Only errors (a) and (b) above.F) A) and B)
G) None of the above

Question 6

In an elastic collision between two bodies of equal mass,with body 2 initially at rest,body 1 moves off at angle θ relative to the direction of its initial velocity and body 2 at angle φ.The sine of the sum of θ and φ,sin(θ + φ) ,is equal to

Accepted Answer

A)  0.
B)  0.500.
C)  0.707.
D)  0.866.
E)  1.00.F) B) and E)
G) A) and D)

Question 7

A 0.28-kg stone you throw rises 34.3 m in the air.The impulse the stone receives from your hand while being thrown is

Accepted Answer

A)  2.7 N  s,up.
B)  2.7 N  s,down.
C)  7.3 N  s,up.
D)  7.3 N  s,down.
E)  9.6 N  s,up.F) A) and C)
G) A) and E)

Question 8

An 80-g particle moving with an initial speed of 50 m/s in the positive x direction strikes and sticks to a 60-g particle moving 50 m/s in the positive y direction.How much kinetic energy is lost in this collision?

Accepted Answer

A)  96 J
B)  89 J
C)  175 J
D)  86 J
E)  110 JF) A) and B)
G) A) and E)

Question 9

A ball of mass mB is released from rest and acquires velocity of magnitude vB before hitting the ground.The ratio of the impulse delivered to the Earth to the impulse delivered to the ball is

Accepted Answer

A)  0.
B)   B is released from rest and acquires velocity of magnitude vB before hitting the ground.The ratio of the impulse delivered to the Earth to the impulse delivered to the ball is 
A)  0. 
B)     . 
C)     . 
D)  1 
E)     . " class="answers-bank-image d-inline" rel="preload" > .
C)   B is released from rest and acquires velocity of magnitude vB before hitting the ground.The ratio of the impulse delivered to the Earth to the impulse delivered to the ball is 
A)  0. 
B)     . 
C)     . 
D)  1 
E)     . " class="answers-bank-image d-inline" rel="preload" > .
D)  1
E)   B is released from rest and acquires velocity of magnitude vB before hitting the ground.The ratio of the impulse delivered to the Earth to the impulse delivered to the ball is 
A)  0. 
B)     . 
C)     . 
D)  1 
E)     . " class="answers-bank-image d-inline" rel="preload" > .F) All of the above
G) None of the above

Question 10

A 0.28-kg stone you throw rises 34.3 m in the air.The impulse your hand receives from the stone while it throws the stone is

Accepted Answer

A)  2.7 N  s,up.
B)  2.7 N  s,down.
C)  7.3 N  s,up.
D)  7.3 N  s,down.
E)  9.6 N  s,up.F) D) and E)
G) A) and E)

Question 11

The linear density of a rod,in g/m,is given by 
) The rod extends from the origin to x = 0.400 m.What is the mass of the rod?

Accepted Answer

A)  0.213 g
B)  3.50 g
C)  3.84 g
D)  18.4 g
E)  20.8 gF) B) and D)
G) A) and B)

Question 12

A 3.00-kg stone is dropped from a 39.2 m high building.When the stone has fallen 19.6 m,the magnitude of the impulse the Earth has received from the gravitational force exerted by the stone is

Accepted Answer

A)  9.80 N  s.
B)  19.6 N  s.
C)  29.4 N  s.
D)  58.8 N  s.
E)  118 N  s.F) A) and D)
G) B) and E)

Question 13

The speed of a 2.0-kg object changes from 30 m/s to 40 m/s during a 5.0-s time interval.During this same time interval,the velocity of the object changes its direction by 90°.What is the magnitude of the average total force acting on the object during this time interval?

Accepted Answer

A)  30 N
B)  20 N
C)  40 N
D)  50 N
E)  6.0 NF) D) and E)
G) B) and D)

Question 14

A car of mass m1 traveling at velocity v passes a car of mass m2 parked at the side of the road.The momentum of the system of two cars is

Accepted Answer

A)  0.
B)  m1v.
C)  (m1 − m2) v.
D)   1 traveling at velocity v passes a car of mass m2 parked at the side of the road.The momentum of the system of two cars is 
A)  0. 
B)  m1v. 
C)  (m1 − m2) v. 
D)     
E)  (m1 + m2) v. " class="answers-bank-image d-inline" rel="preload" >
E)  (m1 + m2) v.F) A) and B)
G) A) and E)

Question 15

A 1.6-kg block is attached to the end of a 2.0-m string to form a pendulum.The pendulum is released from rest when the string is horizontal.At the lowest point of its swing when it is moving horizontally,the block is hit by a 10-g bullet moving horizontally in the opposite direction.The bullet remains in the block and causes the block to come to rest at the low point of its swing.What was the magnitude of the bullet's velocity just before hitting the block?

Accepted Answer

A)  1.0 km/s
B)  1.6 km/s
C)  1.2 km/s
D)  1.4 km/s
E)  1.8 km/sF) D) and E)
G) None of the above

Question 16

A 6.0-kg object,initially at rest in free space,"explodes" into three segments of equal mass.Two of these segments are observed to be moving with equal speeds of 20 m/s with an angle of 60° between their directions of motion.How much kinetic energy is released in this explosion?

Accepted Answer

A)  2.4 kJ
B)  2.9 kJ
C)  2.0 kJ
D)  3.4 kJ
E)  1.2 kJF) All of the above
G) A) and E)

Question 17

Three particles are placed in the xy plane.A 30-g particle is located at (3,4) m,and a 40-g particle is located at (−2,−2) m.Where must a 20-g particle be placed so that the center of mass of the three-particle system is at the origin?

Accepted Answer

A)  (−3,−1) m
B)  (+1,+3) m
C)  (+3,−1) m
D)  (−1,−3) m
E)  (−0.5,−2) mF) A) and B)
G) B) and E)

Question 18

A 3.0-kg object moving in the positive x direction has a one-dimensional elastic collision with a 5.0-kg object initially at rest.After the collision the 5.0-kg object has a velocity of 6.0 m/s in the positive x direction.What was the initial speed of the 3.0 kg object?

Accepted Answer

A)  6.0 m/s
B)  7.0 m/s
C)  4.5 m/s
D)  8.0 m/s
E)  5.5 m/sF) B) and E)
G) B) and D)

Question 19

A 500-g firework explodes into two pieces of equal mass at an instant when it is traveling straight up at 10 m/s.If one half shoots off horizontally to the left at 20 m/s,what is the velocity,in m/s,of the other half immediately after the explosion? (The x axis is directed right;the y axis up. )

Accepted Answer

A)   
B)   
C)   
D)   
E)   F) A) and B)
G) A) and D)

Question 20

A 3.0-kg mass is sliding on a horizontal frictionless surface with a speed of 3.0 m/s when it collides with a 1.0-kg mass initially at rest as shown in the figure.The masses stick together and slide up a frictionless circular track of radius 0.40 m.To what maximum height,h,above the horizontal surface will the masses slide?

Accepted Answer

A)  0.18 m
B)  0.15 m
C)  0.21 m
D)  0.26 m
E)  0.40 mF) A) and B)
G) C) and D)

Exam 9: Linear Momentum and Collisions

Correct Answer
verified

A 500-g firework explodes into two pieces of equal mass at an instant when it is traveling straight up at 10 m/s.If one half shoots off horizontally to the left at 20 m/s,what is the velocity,in m/s,of the other half immediately after the explosion? (The x axis is directed right;the y axis up. )

Correct Answer
verified

Correct Answer
verified

A 0.28-kg stone you throw rises 34.3 m in the air.The impulse the stone receives from your hand while being thrown is

Correct Answer
verified

The linear density of a rod,in g/m,is given by ) The rod extends from the origin to x = 0.400 m.What is the mass of the rod?

Correct Answer
verified

A car of mass m₁ traveling at velocity v passes a car of mass m₂ parked at the side of the road.The momentum of the system of two cars is

Correct Answer
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In an elastic collision between two bodies of equal mass,with body 2 initially at rest,body 1 moves off at angle θ relative to the direction of its initial velocity and body 2 at angle φ.The sine of the sum of θ and φ,sin(θ + φ) ,is equal to

Correct Answer
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A 3.0-kg object moving in the positive x direction has a one-dimensional elastic collision with a 5.0-kg object initially at rest.After the collision the 5.0-kg object has a velocity of 6.0 m/s in the positive x direction.What was the initial speed of the 3.0 kg object?

Correct Answer
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A 10-g bullet moving 1000 m/s strikes and passes through a 2.0-kg block initially at rest,as shown.The bullet emerges from the block with a speed of 400 m/s.To what maximum height will the block rise above its initial position?

Correct Answer
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A 3.00-kg stone is dropped from a 39.2 m high building.When the stone has fallen 19.6 m,the magnitude of the impulse the Earth has received from the gravitational force exerted by the stone is

Correct Answer
verified

A 0.28-kg stone you throw rises 34.3 m in the air.The impulse your hand receives from the stone while it throws the stone is

Correct Answer
verified

Correct Answer
verified

An 80-g particle moving with an initial speed of 50 m/s in the positive x direction strikes and sticks to a 60-g particle moving 50 m/s in the positive y direction.How much kinetic energy is lost in this collision?

Correct Answer
verified

A 3.0-kg mass sliding on a frictionless surface explodes into three 1.0-kg masses.After the explosion the velocities of the three masses are: (1) 9.0 m/s,north; (2) 4.0 m/s,30° south of west;and (3) 4.0 m/s,30° south of east.What was the magnitude of the original velocity of the 3.0-kg mass?

Correct Answer
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The speed of a 2.0-kg object changes from 30 m/s to 40 m/s during a 5.0-s time interval.During this same time interval,the velocity of the object changes its direction by 90°.What is the magnitude of the average total force acting on the object during this time interval?

Correct Answer
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A 6.0-kg object,initially at rest in free space,"explodes" into three segments of equal mass.Two of these segments are observed to be moving with equal speeds of 20 m/s with an angle of 60° between their directions of motion.How much kinetic energy is released in this explosion?

Correct Answer
verified

When two bodies of different masses collide,the impulses they exert on each other are

Correct Answer
verified

Three particles are placed in the xy plane.A 30-g particle is located at (3,4) m,and a 40-g particle is located at (−2,−2) m.Where must a 20-g particle be placed so that the center of mass of the three-particle system is at the origin?

Correct Answer
verified

A ball of mass m_B is released from rest and acquires velocity of magnitude v_B before hitting the ground.The ratio of the impulse delivered to the Earth to the impulse delivered to the ball is

Correct Answer
verified

The law of conservation of momentum applies to a collision between two bodies since

Correct Answer
verified

Exam 9: Linear Momentum and Collisions

Correct AnswerverifiedShow Answer

A 500-g firework explodes into two pieces of equal mass at an instant when it is traveling straight up at 10 m/s.If one half shoots off horizontally to the left at 20 m/s,what is the velocity,in m/s,of the other half immediately after the explosion? (The x axis is directed right;the y axis up. )

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A 0.28-kg stone you throw rises 34.3 m in the air.The impulse the stone receives from your hand while being thrown is

Correct AnswerverifiedShow Answer

The linear density of a rod,in g/m,is given by ) The rod extends from the origin to x = 0.400 m.What is the mass of the rod?

Correct AnswerverifiedShow Answer

A car of mass m1 traveling at velocity v passes a car of mass m2 parked at the side of the road.The momentum of the system of two cars is

Correct AnswerverifiedShow Answer

In an elastic collision between two bodies of equal mass,with body 2 initially at rest,body 1 moves off at angle θ relative to the direction of its initial velocity and body 2 at angle φ.The sine of the sum of θ and φ,sin(θ + φ) ,is equal to

Correct AnswerverifiedShow Answer

A 3.0-kg object moving in the positive x direction has a one-dimensional elastic collision with a 5.0-kg object initially at rest.After the collision the 5.0-kg object has a velocity of 6.0 m/s in the positive x direction.What was the initial speed of the 3.0 kg object?

Correct AnswerverifiedShow Answer

A 10-g bullet moving 1000 m/s strikes and passes through a 2.0-kg block initially at rest,as shown.The bullet emerges from the block with a speed of 400 m/s.To what maximum height will the block rise above its initial position? ​ ​

Correct AnswerverifiedShow Answer

A 3.00-kg stone is dropped from a 39.2 m high building.When the stone has fallen 19.6 m,the magnitude of the impulse the Earth has received from the gravitational force exerted by the stone is

Correct AnswerverifiedShow Answer

A 0.28-kg stone you throw rises 34.3 m in the air.The impulse your hand receives from the stone while it throws the stone is

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

An 80-g particle moving with an initial speed of 50 m/s in the positive x direction strikes and sticks to a 60-g particle moving 50 m/s in the positive y direction.How much kinetic energy is lost in this collision?

Correct AnswerverifiedShow Answer

A 3.0-kg mass sliding on a frictionless surface explodes into three 1.0-kg masses.After the explosion the velocities of the three masses are: (1) 9.0 m/s,north; (2) 4.0 m/s,30° south of west;and (3) 4.0 m/s,30° south of east.What was the magnitude of the original velocity of the 3.0-kg mass?

Correct AnswerverifiedShow Answer

The speed of a 2.0-kg object changes from 30 m/s to 40 m/s during a 5.0-s time interval.During this same time interval,the velocity of the object changes its direction by 90°.What is the magnitude of the average total force acting on the object during this time interval?

Correct AnswerverifiedShow Answer

A 6.0-kg object,initially at rest in free space,"explodes" into three segments of equal mass.Two of these segments are observed to be moving with equal speeds of 20 m/s with an angle of 60° between their directions of motion.How much kinetic energy is released in this explosion?

Correct AnswerverifiedShow Answer

When two bodies of different masses collide,the impulses they exert on each other are

Correct AnswerverifiedShow Answer

Three particles are placed in the xy plane.A 30-g particle is located at (3,4) m,and a 40-g particle is located at (−2,−2) m.Where must a 20-g particle be placed so that the center of mass of the three-particle system is at the origin?

Correct AnswerverifiedShow Answer

A ball of mass mB is released from rest and acquires velocity of magnitude vB before hitting the ground.The ratio of the impulse delivered to the Earth to the impulse delivered to the ball is

Correct AnswerverifiedShow Answer

The law of conservation of momentum applies to a collision between two bodies since

Correct AnswerverifiedShow Answer

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A car of mass m₁ traveling at velocity v passes a car of mass m₂ parked at the side of the road.The momentum of the system of two cars is

Correct Answer
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Correct Answer
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Correct Answer
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A 10-g bullet moving 1000 m/s strikes and passes through a 2.0-kg block initially at rest,as shown.The bullet emerges from the block with a speed of 400 m/s.To what maximum height will the block rise above its initial position?

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A ball of mass m_B is released from rest and acquires velocity of magnitude v_B before hitting the ground.The ratio of the impulse delivered to the Earth to the impulse delivered to the ball is

Correct Answer
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Correct Answer
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