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NEET2024PhysicsGravitationActual

The minimum energy required to launch a satellite of mass m from the surface of earth of mass M and radius R in a circular orbit at an altitude of 2 R from the surface of the earth is:

Options

  1. A2 G m M 3 R
  2. BG m M 2 R
  3. CG m M 3 R
  4. D5 G m M 6 R

Correct answer

D. 5 G m M 6 R

Step-by-step solution

Apply energy conservation, gathered U_i+K_i=U_f+K_f - G M m R +K_i=- G M m 3 R + 1 2 m v^2 - G M m R +K_i=- G M m 3 R + 1 2 m G M 3 R K_i=- 1 6 G M m R + G M m R K_i= 5 6 G M m R gathered

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