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1. Which one of these is the correct formula for momentum?

  • A. momentum = mass x acceleration
  • B. momentum = mass ÷ acceleration
  • C. momentum = mass x velocity
  • D. momentum = mass ÷ velocity

 

2-4: What are the missing values in this table showing the momentum of different sports balls?

    mass velocity momentum
2. Basketball 0.6 kg 6 m/s kg m/s
3. Tennis ball 60 g m/s 2 kg m/s
4. Netball kg 3 m/s 1.4 kg m/s
 

5. When 2 objects collide, they follow " the law of conservation of momentum" . This law states that..

  • A. "The total momentum before and after a collision is the same if no external force acts on the system".
  • B. "The total momentum before and after a collision is always the same".
  • C. "The total momentum before and after a collision is always zero".
  • D. "The total momentum of any system is always zero".

Q6-10. To investigate the law of conservation of momentum, 2 'trolleys' (blocks of wood on wheels) were collided together. The trolleys have magnets on top so they stick together after the collision.

Trolley A is moving at 1.2 m/s towards B, which is stationary.

collision between 2 trolleys

 

6. What is the momentum of trolley A before the collsion?

  • A. 2.5 kg m/s
  • B. 5.0 kg m/s
  • C. 6.0 kg m/s
  • D. 9.6 kg m/s

7. What is the total momentum of both trolleys after the collision once they are stuck together?

  • A. 3.0 kg m/s
  • B. 3.6 kg m/s
  • C. 6.0 kg m/s
  • D. 9.6 kg m/s

8. What is the speed of both A+B (stuck together) after the collision?

  • A. 0.75 m/s
  • B. 1.2 m/s
  • C. 3.0 m/s
  • D. 6.0 m/s

The formula here (in two different forms) can be used to find the force needed to change the momentum of a system.

9. If trolley A was pushed for 0.5 seconds to get it moving to 1.2 m/s at the start, how much force was applied?

  • A. 0.6 N
  • B. 2.4 N
  • C. 6 N
  • D. 12 N

10. During the impact, trolley A pushes on B, so trolley B pushes back on A.

This is a simple example of....

  • A. Newton's First Law.
  • B. Newton's Second Law.
  • C. Newton's Third Law.
  • D. Newton's Fourth Law.
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Question 1:

The correct formula for momentum is:

momentum=mass×velocity

This corresponds to option C.


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Question 2:

Row 2: Basketball
Mass = 0.6 kg, Velocity = 6 m/s

Momentum=0.6×6=3.6 kg⋅m/s

First missing value = 3.6


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 3:

Row 3: Tennis ball
Mass = 60 g=0.06 kg, Momentum = 2 kg⋅m/s
Velocity = momentum/mass=2/0.06=33 m/s
Second missing value = 33


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 4:

Row 4: Netball
Velocity = 3 m/s, Momentum = 1.4 kg⋅m/s
Mass = momentum/velocity=1.4/3

1.4/3≈0.47 kg

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 5:

The correct statement of the law of conservation of momentum is:

A. "The total momentum before and after a collision is the same if no external force acts on the system."

Option B is incorrect because it omits the crucial condition of no external forces.
Option C and D are incorrect because total momentum is not always zero—it is constant only in an isolated system.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 6:

We use the momentum formula:

p=m×v

For trolley A:

m=5 kg,v=1.2 m/s

p=5×1.2=6.0 kg⋅m/s

The correct answer is C. 6.0 kg m/s.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 7:

According to the law of conservation of momentum, the total momentum before the collision equals the total momentum after the collision if no external forces act.

Before the collision:

Total momentum before = 6.0+0=6.0 kg⋅m/s

Since they stick together and no external forces act, total momentum after collision = 6.0 kg⋅m/s.

The correct answer is C. 6.0 kg m/s.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 8:

After the collision, the two trolleys stick together, so their combined mass is:

mtotal=5 kg+3 kg=8 kg

From conservation of momentum:

ptotal after=ptotal before=6.0 kg⋅m/s

Let v be their speed after the collision. Then:

8×v=6.0

v=6.0/8=0.75 m/s

The correct answer is A. 0.75 m/s.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 9:

We use F=m(v−u)/t, where:

F=5×(1.2−0)/0.5

F=5×1.2/0.5=6/0.5=12 N

The correct answer is D. 12 N.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 10:

The situation described — "trolley A pushes on B, so trolley B pushes back on A" — is a direct statement of Newton's Third Law: for every action, there is an equal and opposite reaction.

The correct answer is C. Newton's Third Law.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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