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MHT CET202211 Aug 2022Morning ShiftPhysicsGravitationActual

A body of mass m is dropped from a height R 2 , from the surface of earth where R is radius of earth. Its speed when it will hit the earth's surface is (v_e= . escape v elocity from earth' surface)

Options

  1. A2 V_e
  2. BV_e 3
  3. CV_e 2
  4. D3 V_e

Correct answer

B. V_e 3

Step-by-step solution

Considering the total energy conservation: aligned & - G M m R+ R 2 =- G M m R + 1 2 m v^2 & v= 2 G M 3 R = v_e 3 aligned

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