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JEE Main2012PhysicsGravitationActual

The mass of a spaceship is 1000 ~kg . It is to be launched from the earth's surface out into free space. The value of ' g ' and ' R ' (radius of earth) are 10 ~m / s ^2 and 6400 ~km respectively. The required energy for this work will be ;

Options

  1. A6.4 10¹¹ Joules
  2. B6.4 10^8 Joules
  3. C6.4 10^9 Joules
  4. D6.4 10¹⁰ Joules

Correct answer

D. 6.4 10¹⁰ Joules

Step-by-step solution

To launch the spaceship out into free space, from energy conservation, - GMm R + E =0 E = GMm R = ( GM R ^2 ) mR = mgR =6.4 10¹⁰ ~J

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