Question 1

Two identical bodies of mass M move with equal speeds v. The direction of their velocities is illustrated above. The magnitude of the linear momentum of the system is

Accepted Answer

A)   2Mv
B)   Mv
C)   4Mv
D)    Mv
E)    MvF) A) and B)
G) B) and D)

Question 2

The force exerted on a 10-kg mass is given by
F = 10 + 2t
Where the units are SI. If the mass starts from rest, its velocity after 2 s is

Accepted Answer

A)   14 m/s
B)   2.0 m/s
C)   2.4 m/s
D)   0.20 m/s
E)   0.24 km/sF) All of the above
G) B) and E)

Question 3

1 collides with and sticks to a ball of mass M and velocity   2. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been A)  m(   -   1)  B)  m(   +   1)  C)  (m + M)    D)  (m + M) (   -   2)  E)  zero" class="answers-bank-image d-inline" rel="preload" > A ball of mass m and velocity 1 collides with and sticks to a ball of mass M and velocity   2. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been A)  m(   -   1)  B)  m(   +   1)  C)  (m + M)    D)  (m + M) (   -   2)  E)  zero" class="answers-bank-image d-inline" rel="preload" > 1 collides with and sticks to a ball of mass M and velocity 1 collides with and sticks to a ball of mass M and velocity   2. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been A)  m(   -   1)  B)  m(   +   1)  C)  (m + M)    D)  (m + M) (   -   2)  E)  zero" class="answers-bank-image d-inline" rel="preload" > 2. If the pair moves on with velocity 1 collides with and sticks to a ball of mass M and velocity   2. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been A)  m(   -   1)  B)  m(   +   1)  C)  (m + M)    D)  (m + M) (   -   2)  E)  zero" class="answers-bank-image d-inline" rel="preload" > , the impulse given the ball of mass m during the collision must have been

Accepted Answer

A)   m( 1 collides with and sticks to a ball of mass M and velocity   2. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been 
A)   m(   -   1)  
B)   m(   +   1)  
C)   (m + M)    
D)   (m + M) (   -   2)  
E)   zero" class="answers-bank-image d-inline" rel="preload" > - 1 collides with and sticks to a ball of mass M and velocity   2. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been 
A)   m(   -   1)  
B)   m(   +   1)  
C)   (m + M)    
D)   (m + M) (   -   2)  
E)   zero" class="answers-bank-image d-inline" rel="preload" > 1) 
B)   m( 1 collides with and sticks to a ball of mass M and velocity   2. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been 
A)   m(   -   1)  
B)   m(   +   1)  
C)   (m + M)    
D)   (m + M) (   -   2)  
E)   zero" class="answers-bank-image d-inline" rel="preload" > + 1 collides with and sticks to a ball of mass M and velocity   2. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been 
A)   m(   -   1)  
B)   m(   +   1)  
C)   (m + M)    
D)   (m + M) (   -   2)  
E)   zero" class="answers-bank-image d-inline" rel="preload" > 1) 
C)   (m + M)  1 collides with and sticks to a ball of mass M and velocity   2. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been 
A)   m(   -   1)  
B)   m(   +   1)  
C)   (m + M)    
D)   (m + M) (   -   2)  
E)   zero" class="answers-bank-image d-inline" rel="preload" >
D)   (m + M) ( 1 collides with and sticks to a ball of mass M and velocity   2. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been 
A)   m(   -   1)  
B)   m(   +   1)  
C)   (m + M)    
D)   (m + M) (   -   2)  
E)   zero" class="answers-bank-image d-inline" rel="preload" > - 1 collides with and sticks to a ball of mass M and velocity   2. If the pair moves on with velocity   , the impulse given the ball of mass m during the collision must have been 
A)   m(   -   1)  
B)   m(   +   1)  
C)   (m + M)    
D)   (m + M) (   -   2)  
E)   zero" class="answers-bank-image d-inline" rel="preload" > 2) 
E)   zeroF) C) and D)
G) B) and E)

Question 4

A bullet is fired at 100 m/s horizontally into a 2-kg block suspended by a light string of length 1.2 m. If the block and bullet system swing up by 20 degrees to the vertical, the mass of the bullet is given by:

Accepted Answer

A)   79 g
B)   24 g
C)   28 g
D)   15 g
E)   123 gF) All of the above
G) B) and D)

Question 5

Calculate the impulse by the force, as shown in the figure below.

Accepted Answer

A)   1.0 mN.s
B)   2.0 mN.s
C)   4.0 mN.s
D)   10.0 mN.s
E)   40.0 mN.sF) A) and E)
G) C) and D)

Question 6

A particle of unknown mass has a momentum of 73 kg · m/s. At a time 7.3 s later, the momentum of the particle is 38 kg · m/s. What is the magnitude of the force acting on the particle during the interval, assuming the motion is in a straight line?

Accepted Answer

A)   It cannot be determined because the mass of the particle is not given.
B)   4.8 N
C)   10 N
D)   5.3 N
E)   9.4 NF) A) and E)
G) B) and D)

Question 7

Two balls are dropped from a height of 6 m. Ball A bounces up to a height of 4 m whereas ball B bounces up to 2 m. Which ball experiences the larger impulse during its collision with the floor?

Accepted Answer

A)   ball A
B)   ball B
C)   They both experience the same impulse.
D)   It is impossible to tell without knowing the masses of the balls.
E)   It is impossible to tell without knowing the durations of the collisions.F) A) and D)
G) B) and C)

Question 8

The figure shows a ballistic pendulum in three states. The system (considered to be the ball and the pendulum)  will move in such a way that

Accepted Answer

A)   the kinetic energy is conserved during the collision.
B)   the linear momentum is conserved after the collision.
C)   the linear momentum is not conserved during the collision.
D)   the total mechanical energy is conserved during the collision.
E)   the total mechanical energy is conserved after the collision.F) None of the above
G) A) and B)

Question 9

In a coordinate system whose center of mass moves with a velocity c , the total momentum in the center-of-mass coordinate system after collision of the two masses m1 and m2 is A)  (m1 + m2)    c  B)  [m1m2 /(m1 + m2) ]   c  C)  [m1/(m1 + m2) ]   c  D)  [m2/(m1 + m2) ]   c  E)  zero" class="answers-bank-image d-inline" rel="preload" > c , the total momentum in the center-of-mass coordinate system after collision of the two masses m1 and m2 is

Accepted Answer

A)   (m1 + m2)  c , the total momentum in the center-of-mass coordinate system after collision of the two masses m1 and m2 is 
A)   (m1 + m2)    c  
B)   [m1m2 /(m1 + m2) ]   c  
C)   [m1/(m1 + m2) ]   c  
D)   [m2/(m1 + m2) ]   c  
E)   zero" class="answers-bank-image d-inline" rel="preload" > c 
B)   [m1m2 /(m1 + m2) ] c , the total momentum in the center-of-mass coordinate system after collision of the two masses m1 and m2 is 
A)   (m1 + m2)    c  
B)   [m1m2 /(m1 + m2) ]   c  
C)   [m1/(m1 + m2) ]   c  
D)   [m2/(m1 + m2) ]   c  
E)   zero" class="answers-bank-image d-inline" rel="preload" > c 
C)   [m1/(m1 + m2) ] c , the total momentum in the center-of-mass coordinate system after collision of the two masses m1 and m2 is 
A)   (m1 + m2)    c  
B)   [m1m2 /(m1 + m2) ]   c  
C)   [m1/(m1 + m2) ]   c  
D)   [m2/(m1 + m2) ]   c  
E)   zero" class="answers-bank-image d-inline" rel="preload" > c 
D)   [m2/(m1 + m2) ] c , the total momentum in the center-of-mass coordinate system after collision of the two masses m1 and m2 is 
A)   (m1 + m2)    c  
B)   [m1m2 /(m1 + m2) ]   c  
C)   [m1/(m1 + m2) ]   c  
D)   [m2/(m1 + m2) ]   c  
E)   zero" class="answers-bank-image d-inline" rel="preload" > c 
E)   zeroF) C) and D)
G) B) and E)

Question 10

In an elastic collision of two objects,

Accepted Answer

A)   momentum is not conserved.
B)   momentum is conserved, and the kinetic energy after the collision is less than its value before the collision.
C)   momentum is conserved, and the kinetic energy after the collision is the same as the kinetic energy before the collision.
D)   momentum is not conserved, and the kinetic energy of the system after the collision differs from the kinetic energy of the system before the collision.
E)   the kinetic energy of the system after the collision depends on the masses of the objects.F) A) and B)
G) A) and C)

Question 11

For a system consisting of two particles that undergo an elastic collision,

Accepted Answer

A)   momentum is conserved but the total energy is not conserved.
B)   neither the kinetic energy nor the momentum is conserved.
C)   neither the total energy nor the momentum is necessarily conserved.
D)   the mechanical energy is conserved but momentum is not conserved.
E)   both kinetic energy and momentum are conserved.F) A) and B)
G) C) and D)

Question 12

Use the scenario below for the next question.
You were traveling north at speed vc in your car of mass mc = 2000 kg through an intersection when you were struck by a light truck of mass mt = 4000 kg traveling West. After the collision the two vehicles are stuck together and travel a distance of 20 m in the direction 30 ∘\circ∘  N of W.
-What is the truck speed in terms of vc?

Accepted Answer

A)   0.5vc
B)   0.75vc
C)   0.87vc
D)   vc
E)   1.15vc F) A) and E)
G) B) and C)

Question 13

A man in a spacecraft that is moving with a velocity V0 in free space runs forward and then stops. The center of mass of the system (that is, the ship and the man)

Accepted Answer

A)   slows while the man is running, then speeds up when he stops.
B)   slows while the man is running, then resumes its original velocity when he stops.
C)   moves faster while the man is running, then slows when he stops.
D)   moves faster while the man is running, then resumes its original velocity when he stops.
E)   continues all the while at its original velocity.F) A) and E)
G) B) and E)

Question 14

A boy and girl on ice skates face each other. The girl has a mass of 20 kg and the boy has a mass of 30 kg. The boy pushes the girl backward at a speed of 3.0 m/s. As a result of the push, the speed of the boy is

Accepted Answer

A)   zero
B)   2.0 m/s
C)   3.0 m/s
D)   4.5 m/s
E)   9.0 m/sF) C) and E)
G) A) and B)

Question 15

A Saturn V rocket with an initial mass m0 of 3  ×	imes×  106 kg has a payload that accounts for 27% of this mass, a burn rate of 15  ×	imes×  103 kg/s, and a thrust Fth of 35  ×	imes×  106 N. The burn time tb is

Accepted Answer

A)   135 s
B)   185 s
C)   209 s
D)   233 s
E)   146 s F) C) and D)
G) A) and B)

Question 16

The SI units of momentum are

Accepted Answer

A)   kg · m · s
B)   m2/s
C)   kg · s/m
D)   kg/J
E)   kg · m/sF) C) and D)
G) A) and D)

Question 17

A bullet with a mass of 20 g and a speed of 960 m/s strikes a block of wood of mass 4.5 kg resting on a horizontal surface. The bullet gets embedded in the block. The speed of the block immediately after the collision

Accepted Answer

A)   cannot be found because we don't know whether the surface is frictionless.
B)   is 0.21 km/s.
C)   is 65 m/s.
D)   is 9.3 m/s.
E)   None of these is correct.F) B) and C)
G) A) and E)

Question 18

A 40-kg girl, standing at rest on the ice, gives a 60-kg boy, who is also standing at rest on the ice, a shove. After the shove, the boy is moving backward at 2.0 m/s. Ignore friction. The girl's speed is

Accepted Answer

A)   zero
B)   1.3 m/s
C)   2.0 m/s
D)   3.0 m/s
E)   6.0 m/sF) A) and D)
G) B) and D)

Question 19

A block that has a mass M = 4.25 kg is hanging at rest on a light string. A projectile with a mass m = 250 g moving horizontally strikes M and sticks to it. The block and its projectile swing up and the center of mass rises a distance h = 12.0 cm. The speed of the projectile is approximately

Accepted Answer

A)   28 m/s
B)   42 m/s
C)   0.28 km/s
D)   26 m/s
E)   14 m/sF) C) and D)
G) A) and C)

Question 20

Use the scenario below for the next question.
You were traveling north at speed vc in your car of mass mc = 2000 kg through an intersection when you were struck by a light truck of mass mt = 4000 kg traveling West. After the collision the two vehicles are stuck together and travel a distance of 20 m in the direction 30 ∘\circ∘  N of W.
-If your speed is 72 km/h, what is the work done by friction in bringing the two vehicles to rest after the collision?

Accepted Answer

A)   - 4.0  ×	imes×  105 J
B)   - 5.3  ×	imes×  105 J
C)   - 8.0  ×	imes×  105 J
D)   -1.3  ×	imes×  106 J
E)   - 1.6  ×	imes×  106 J F) A) and D)
G) All of the above

Exam 8: Systems of Particles and Conservation of Linear Momentum

A bullet is fired at 100 m/s horizontally into a 2-kg block suspended by a light string of length 1.2 m. If the block and bullet system swing up by 20 degrees to the vertical, the mass of the bullet is given by:

Correct Answer
verified

A Saturn V rocket with an initial mass m₀ of 3 $\times$ 10⁶ kg has a payload that accounts for 27% of this mass, a burn rate of 15 $\times$ 10³ kg/s, and a thrust F_th of 35 $\times$ 10⁶ N. The burn time t_b is

Correct Answer
verified

A 40-kg girl, standing at rest on the ice, gives a 60-kg boy, who is also standing at rest on the ice, a shove. After the shove, the boy is moving backward at 2.0 m/s. Ignore friction. The girl's speed is

Correct Answer
verified

A particle of unknown mass has a momentum of 73 kg · m/s. At a time 7.3 s later, the momentum of the particle is 38 kg · m/s. What is the magnitude of the force acting on the particle during the interval, assuming the motion is in a straight line?

Correct Answer
verified

A boy and girl on ice skates face each other. The girl has a mass of 20 kg and the boy has a mass of 30 kg. The boy pushes the girl backward at a speed of 3.0 m/s. As a result of the push, the speed of the boy is

Correct Answer
verified

Two balls are dropped from a height of 6 m. Ball A bounces up to a height of 4 m whereas ball B bounces up to 2 m. Which ball experiences the larger impulse during its collision with the floor?

Correct Answer
verified

In a coordinate system whose center of mass moves with a velocity _c , the total momentum in the center-of-mass coordinate system after collision of the two masses m₁ and m₂ is

Correct Answer
verified

The SI units of momentum are

Correct Answer
verified

A man in a spacecraft that is moving with a velocity V₀ in free space runs forward and then stops. The center of mass of the system (that is, the ship and the man)

Correct Answer
verified

The figure shows a ballistic pendulum in three states. The system (considered to be the ball and the pendulum) will move in such a way that

Correct Answer
verified

A ball of mass m and velocity ₁ collides with and sticks to a ball of mass M and velocity ₂. If the pair moves on with velocity , the impulse given the ball of mass m during the collision must have been

Correct Answer
verified

Two identical bodies of mass M move with equal speeds v. The direction of their velocities is illustrated above. The magnitude of the linear momentum of the system is

Correct Answer
verified

Calculate the impulse by the force, as shown in the figure below.

Correct Answer
verified

Correct Answer
verified

A block that has a mass M = 4.25 kg is hanging at rest on a light string. A projectile with a mass m = 250 g moving horizontally strikes M and sticks to it. The block and its projectile swing up and the center of mass rises a distance h = 12.0 cm. The speed of the projectile is approximately

Correct Answer
verified

Correct Answer
verified

The force exerted on a 10-kg mass is given by F = 10 + 2t Where the units are SI. If the mass starts from rest, its velocity after 2 s is

Correct Answer
verified

For a system consisting of two particles that undergo an elastic collision,

Correct Answer
verified

A bullet with a mass of 20 g and a speed of 960 m/s strikes a block of wood of mass 4.5 kg resting on a horizontal surface. The bullet gets embedded in the block. The speed of the block immediately after the collision

Correct Answer
verified

In an elastic collision of two objects,

Correct Answer
verified

Exam 8: Systems of Particles and Conservation of Linear Momentum

A bullet is fired at 100 m/s horizontally into a 2-kg block suspended by a light string of length 1.2 m. If the block and bullet system swing up by 20 degrees to the vertical, the mass of the bullet is given by:

Correct AnswerverifiedShow Answer

A Saturn V rocket with an initial mass m0 of 3 ×\times× 106 kg has a payload that accounts for 27% of this mass, a burn rate of 15 ×\times× 103 kg/s, and a thrust Fth of 35 ×\times× 106 N. The burn time tb is

Correct AnswerverifiedShow Answer

A 40-kg girl, standing at rest on the ice, gives a 60-kg boy, who is also standing at rest on the ice, a shove. After the shove, the boy is moving backward at 2.0 m/s. Ignore friction. The girl's speed is

Correct AnswerverifiedShow Answer

A particle of unknown mass has a momentum of 73 kg · m/s. At a time 7.3 s later, the momentum of the particle is 38 kg · m/s. What is the magnitude of the force acting on the particle during the interval, assuming the motion is in a straight line?

Correct AnswerverifiedShow Answer

A boy and girl on ice skates face each other. The girl has a mass of 20 kg and the boy has a mass of 30 kg. The boy pushes the girl backward at a speed of 3.0 m/s. As a result of the push, the speed of the boy is

Correct AnswerverifiedShow Answer

Two balls are dropped from a height of 6 m. Ball A bounces up to a height of 4 m whereas ball B bounces up to 2 m. Which ball experiences the larger impulse during its collision with the floor?

Correct AnswerverifiedShow Answer

In a coordinate system whose center of mass moves with a velocity c , the total momentum in the center-of-mass coordinate system after collision of the two masses m1 and m2 is

Correct AnswerverifiedShow Answer

The SI units of momentum are

Correct AnswerverifiedShow Answer

A man in a spacecraft that is moving with a velocity V0 in free space runs forward and then stops. The center of mass of the system (that is, the ship and the man)

Correct AnswerverifiedShow Answer

The figure shows a ballistic pendulum in three states. The system (considered to be the ball and the pendulum) will move in such a way that

Correct AnswerverifiedShow Answer

A ball of mass m and velocity 1 collides with and sticks to a ball of mass M and velocity 2. If the pair moves on with velocity , the impulse given the ball of mass m during the collision must have been

Correct AnswerverifiedShow Answer

Two identical bodies of mass M move with equal speeds v. The direction of their velocities is illustrated above. The magnitude of the linear momentum of the system is

Correct AnswerverifiedShow Answer

Calculate the impulse by the force, as shown in the figure below.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A block that has a mass M = 4.25 kg is hanging at rest on a light string. A projectile with a mass m = 250 g moving horizontally strikes M and sticks to it. The block and its projectile swing up and the center of mass rises a distance h = 12.0 cm. The speed of the projectile is approximately

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

The force exerted on a 10-kg mass is given by F = 10 + 2t Where the units are SI. If the mass starts from rest, its velocity after 2 s is

Correct AnswerverifiedShow Answer

For a system consisting of two particles that undergo an elastic collision,

Correct AnswerverifiedShow Answer

A bullet with a mass of 20 g and a speed of 960 m/s strikes a block of wood of mass 4.5 kg resting on a horizontal surface. The bullet gets embedded in the block. The speed of the block immediately after the collision

Correct AnswerverifiedShow Answer

In an elastic collision of two objects,

Correct AnswerverifiedShow Answer

Correct Answer
verified

A Saturn V rocket with an initial mass m₀ of 3 $\times$ 10⁶ kg has a payload that accounts for 27% of this mass, a burn rate of 15 $\times$ 10³ kg/s, and a thrust F_th of 35 $\times$ 10⁶ N. The burn time t_b is

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

In a coordinate system whose center of mass moves with a velocity _c , the total momentum in the center-of-mass coordinate system after collision of the two masses m₁ and m₂ is

Correct Answer
verified

Correct Answer
verified

A man in a spacecraft that is moving with a velocity V₀ in free space runs forward and then stops. The center of mass of the system (that is, the ship and the man)

Correct Answer
verified

Correct Answer
verified

A ball of mass m and velocity ₁ collides with and sticks to a ball of mass M and velocity ₂. If the pair moves on with velocity , the impulse given the ball of mass m during the collision must have been

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
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Correct Answer
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Correct Answer
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