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NTA Abhyas JEE Main2020PhysicsCenter of Mass, Momentum and CollisionPractice

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

Options

  1. A45 o
  2. Btan - 1 ⁡ e
  3. Ctan - 1 e
  4. Dtan - 1 e 2

Correct answer

C. tan - 1 e

Step-by-step solution

Along the inclined plane m u   s i n θ = m v   c o s θ ⇒ t a n θ = v u Now, e = - v 2 - v 1 u 2 - u 1 = - 0 - - v   s i n θ 0 - u   c o s θ tan 2 ⁡ θ = e θ = tan - 1 e

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