Difficulty: Medium
Correct Answer: All of the above
Explanation:
Introduction / Context:
Collision of elastic bodies is described by phases of compression and restitution. Even “rigid” bodies deform locally at the contact region; elasticity allows them to store and release strain energy, which governs their post-impact velocities.
Given Data / Assumptions:
Concept / Approach:
The impact has two stages: compression (bodies deform, relative approach decreases) and restitution (bodies recover shape, relative separation increases). At the instant of maximum compression, relative velocity at the contact becomes zero; then restitution begins.
Step-by-Step Description:
Verification / Alternative check:
Newton’s impact law relates separation and approach speeds: v_separation = e * v_approach. For e close to 1, recovery is nearly complete, matching the described behavior.
Why Other Options Are Wrong:
Taken individually, (a) can be misread; however, together the options describe the full cycle (deform, pause at max compression, recover). Hence 'All of the above' best captures the correct sequence.
Common Pitfalls:
Assuming perfectly rigid contact (no deformation); confusing zero relative speed at maximum compression with zero absolute speed in every frame.
Final Answer:
All of the above — the deformation and recovery phases occur in elastic collisions, with a momentary stop at peak compression in the contact frame.
Discussion & Comments