Momentum transfer: Trolley colliding with spring

In summary, during the collision between the trolley and the spring, the initial momentum of the trolley is transferred to the Earth's rotation. While energy is stored in the spring, momentum cannot be stored as the spring is initially at rest and returns to rest after maximum compression. This is why the correct answer is A (It has been transferred to the Earth).
  • #1
coconut62
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Homework Statement



A trolley travels with constant velocity to the right on a horizontal ground and collides with a light helical spring attached to a wall fixed to the ground (earth) as shown. At the instant that the trolley comes momentarily to rest during collision, what has happened to the initial momentum of the trolley?

A) It has been transferred to the earth
B) It has been stored in the spring
C) It has been dissipated as sound and heat.
D) it has been destroyed by the friction due to the ground.

Homework Equations



None

The Attempt at a Solution



My answer was B. But the correct answer is A.
I don't understand how can the momentum be transferred to the earth. The trolley was moving horizontally, not vertically. Also, it causes the spring to contract, so the momentum or energy should be stored in the spring, and then the spring relaxes then pushes the trolley again. Why am I wrong?
 

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  • #2
I don't understand how can the momentum be transferred to the earth. The trolley was moving horizontally, not vertically.

Momentum can be transferred to the Earth's rotation. Depending on which direction the trolley was moving the Earth's rotation may either speed up or slow down (slightly).

Energy has been stored in the spring.
 
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  • #3
Further to CWatters' answer, the spring starts off at rest and is again at rest when at maximum compression, therefore it cannot be storing any momentum. Unlike energy, momentum always involves movement.
 
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1. What is momentum transfer?

Momentum transfer is the exchange of momentum between two objects during a collision or interaction.

2. How is momentum transfer calculated?

Momentum transfer is calculated by multiplying the mass of an object by its velocity.

3. What is a trolley?

A trolley is a wheeled vehicle that is used to transport goods or materials.

4. How does a trolley colliding with a spring affect momentum transfer?

When a trolley collides with a spring, the spring will compress and absorb some of the momentum of the trolley, resulting in a decrease in the overall momentum transfer.

5. What factors can affect momentum transfer in a trolley colliding with a spring scenario?

The mass and velocity of the trolley, the stiffness of the spring, and the angle of collision can all affect the momentum transfer in a trolley colliding with a spring scenario.

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