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AIIMS2014PhysicsGravitation

A satellite is in an orbit around the earth. If its kinetic energy is doubled, then

Options

  1. Ait will maintain its path
  2. Bit will fall on the earth
  3. Cit will rotate with a great speed
  4. Dit will escape out of earth’s gravitational field

Correct answer

D. it will escape out of earth’s gravitational field

Step-by-step solution

Kinetic energy, K= 1 2 m v₀^2 or v₀= 2 K m When kinetic energy is doubled, then v₀^ = 2 2 K m = 2 2 K m = 2 v₀ But 2 v₀=v_e (escape velocity) Hence satellite will escape out of earth's gravitational field.

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