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NTA Abhyas JEE Main2020PhysicsCenter of Mass, Momentum and CollisionPractice

A ball of mass m moving with velocity v strikes the bob of a pendulum at rest. The mass of the bob is also m . If the collision is perfectly inelastic, the height to which the bob will rise is given by

Options

  1. Av 2 8 g
  2. Bv 2 2 g
  3. C2 v 2 g
  4. Dv 2 g

Correct answer

A. v 2 8 g

Step-by-step solution

Because the collision is perfectly inelastic, hence the two blocks stick together. By conservation of linear momentum, 2 m V = mv or V = v 2 By conservation of energy, 2 mgh = 1 2 2 m V 2 or h = v 2 / 8 g

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