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NEETPhysicsCenter of Mass, Momentum and Collision

A ball of mass 0.3 kg strikes a rigid vertical wall with a speed of 10 m s ⁻¹ at an angle of 30^ with the surface of the wall. It rebounds with the same speed and at the same angle. The magnitude of the impulse imparted to the ball by the wall is:

Options

  1. A0 kg m s ⁻¹
  2. B1.5 kg m s ⁻¹
  3. C3 3 kg m s ⁻¹
  4. D3 kg m s ⁻¹

Correct answer

D. 3 kg m s ⁻¹

Step-by-step solution

Let the wall be along the y-axis and the normal to the wall be along the x-axis. The angle made by the velocity vector with the surface of the wall is = 30^ . The component of velocity perpendicular to the wall is v_ = v 30^ . The component of velocity parallel to the wall is v_ = v 30^ . During the collision, the parallel component remains unchanged, while the perpendicular component reverses its direction. Initial momentum perpendicular to the wall, p_ i = m v 30^ Final momentum perpendicular to the wall, p_ f =

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