Question

A solid sphere rolls without slipping on a rough horizontal floor, moving with a speed $v$. It makes an elastic collision with a smooth vertical wall. After impact:

• A. it will move with a speed $v$ initially
• B. its motion will be rolling without slipping
• C. its motion will be rolling without slipping initially and its rotational motion will stop momentarily at some instant
• D. its motion will be rolling without slipping only after some time.

Answer 1

Answer: (A), (C), (D)

The correct options are
A it will move with a speed $v$ initially
C its motion will be rolling without slipping initially and its rotational motion will stop momentarily at some instant
D its motion will be rolling without slipping only after some time.

Since the collision is elastic, its velocity will be v in the reverse direction. but the direction of rotation won't change just after the impact. So initially the sphere rolls with slipping and after some time it will start rolling without slipping.