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MHT CET202121 Sep 2021Morning ShiftPhysicsGravitationActual

A particle of mass ' m ' is kept at rest a height 3 R from the surface of earth, where ' R ' is radius of earth and ' M ' is the mass of earth. The minimum speed with which it should be projected upward, so that it does not return back is ( g = acceleration due to gravity on the earth's surface)

Options

  1. A[ GM 2 R ]^ 1 / 2
  2. B[ gR 4 ]^ 1 / 2
  3. C[ 2 g R ]^ 1 / 2
  4. D[ GM R ]^ 1 / 2

Correct answer

A. [ GM 2 R ]^ 1 / 2

Step-by-step solution

K _ i + U _ i = K _ f + U _ f 1 2 mv ^2- GMm 4 R =0 v = [ GM 2 R ]^ 1 / 2

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