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AP EAMCET202422 May 2024Morning ShiftPhysicsMotion in Two DimensionsActual

A 100 kg gun fires a ball of 1 kg horizontally from a cliff of height 500 m. It falls on the ground at a distance of 400 m from the bottom of the cliff. The recoil velocity of the gun is (Acceleration due to gravity =10 ~ms ⁻² ).

Options

  1. A0.6 ~ms ⁻¹
  2. B0.8 ~ms ⁻¹
  3. C0.2 ~ms ⁻¹
  4. D0.4 ~ms ⁻¹

Correct answer

D. 0.4 ~ms ⁻¹

Step-by-step solution

Time of flight, aligned & T= 2 H g = 2 500 10 =10 ~s & R=u . T u= 400 10 =40 ~m / s aligned Recoil velocity of gun, V = ( m M ) u = 1 40 100 =0.4 ~m / s

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