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BITSAT2024PhysicsGravitationActual

The kinetic energy of a satellite in its orbit around the earth is E . What should be the kinetic energy of the satellite so as to enable it to escape from the gravitational pull of the earth?

Options

  1. A4 E
  2. B2 E
  3. C2 E
  4. DE

Correct answer

B. 2 E

Step-by-step solution

We know that v_e= 2 v₀ , where v ₀ is orbital velocity. K.E. in the orbit, E= 1 2 M v₀ ^2 K.E. to escape E= 1 2 M v_e^2= 1 2 M (2 v₀ ^2 )= 1 2 M v₀^2 2=2 E

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