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MHT CET2019Evening ShiftPhysicsGravitationActual

What is the minimum energy required to launch a satellite of mass ‘m’ from the surface of the earth of mass ‘M’ and radius ‘R’ at an attitude 2R?

Options

  1. AG M m 2 R
  2. B2 G M m 3 R
  3. CG M m 3 R
  4. D5 G M m 6 R

Correct answer

B. 2 G M m 3 R

Step-by-step solution

The minimum energy required to launch a satellite from surface of earth is equal to the amount of work done against gravity to move it from the surface of earth to a height h and is given by U = W = G M m 1 r 1 - 1 r 2 = G M m 1 R - 1 R + h Here, h = 2R ⇒ U = G M m 1 R - 1 3 R = 2 G M m 3 R

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