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.

Explanation

Potential energy `U = - mgR_(e ) +mgh`
(The first term is independent of the height , so it can be taken to zero )
`W = U = mgh " " p[ h approx R]`
` = 1000 xx 10 xx 6400 xx10^(3) = 64 xx10^(9)`
`W = 6.4 xx10^(10) J `