Momentum transfer: Trolley colliding with spring

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SUMMARY

The discussion centers on the momentum transfer of a trolley colliding with a helical spring. The correct answer to the posed question is that the trolley's momentum has been transferred to the Earth, not stored in the spring. This conclusion is based on the principle that momentum involves movement, and at maximum compression, the spring does not store momentum. The interaction highlights the relationship between momentum and energy during collisions.

PREREQUISITES
  • Understanding of momentum and its conservation principles
  • Basic knowledge of energy storage in mechanical systems
  • Familiarity with the concepts of collision dynamics
  • Awareness of the Earth's rotational dynamics
NEXT STEPS
  • Study the principles of momentum conservation in collisions
  • Explore energy transfer mechanisms in mechanical systems
  • Learn about the effects of collisions on the Earth's rotation
  • Investigate the behavior of springs under compression and tension
USEFUL FOR

Physics students, educators, and anyone interested in understanding momentum transfer and energy dynamics in mechanical systems.

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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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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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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