A ball is dropped on a smooth inclined plane and is observed to move horizontally after the impact. The…

A ball is dropped on a smooth inclined plane and is observed to move horizontally after the impact. The coefficient of restitution between the plane and ball is e. The inclination of the plane is
  1. 45o
  2. tan-1⁡e
  3. tan-1e
  4. tan-1e2

Solution

Along the inclined plane

mu sinθ=mv cosθ

⇒tanθ=vu

Now, e=-v2-v1u2-u1

=-0--v sinθ0-u cosθ

tan2⁡θ=e

θ=tan-1e

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