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MHT CET202311 May 2023Evening ShiftPhysicsMotion in One DimensionActual

A ball kept at 20 ~m height falls freely in vertically downward direction and hits the ground. The coefficient of restitution is 0.4 . Velocity of the ball first rebound is [ g =10 ~ms ⁻² ]

Options

  1. A4 ~ms ⁻¹
  2. B8 ~ms ⁻¹
  3. C12 ~ms ⁻¹
  4. D16 ~ms ⁻¹

Correct answer

B. 8 ~ms ⁻¹

Step-by-step solution

aligned v^2 & =0+2 g h ( v^2-u^2=2 g h ) & v^2=2 10 20=400 & v=20 ~m / s & e = u v aligned The velocity of the body after the first rebound is aligned & u=0.4 20 & u=8 ~m / s aligned

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