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The mass of a space ship is 1000 kg. It is to be launched from Earth ’s surface out into free space the value of g and R (radius of Earth) are 10 ms-2 and 6400 km respectively. The required energy for this work will be.

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Potential energy U = – mgRe + mgh

(The first term is independent of the height, so it can be taken to zero.)

W = U = mgh [h ≈ R] 

= 1000 × 10 × 6400 × 103 

= 64 × 109

 W = 6.4 × 1010 J

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