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JEE Main20246 Apr 2024Morning ShiftPhysicsGravitationActual

To project a body of mass m from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is R_E, g= acceleration due to gravity on the surface of earth):

Options

  1. A2 m g R_E
  2. B4 m g R_E
  3. Cm g R_E
  4. D1 / 2 m g R_E

Correct answer

C. m g R_E

Step-by-step solution

aligned & 1 2 mv _ e ^2= GMm R _ E & g = GM R _ E ^2 & ~K = mgR _ E aligned

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