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) are10 ms^(2)and 6400 km respectively. The required energy for this work will be.

The mass of a space ship is 1000 kg. It is to be launched from Earth's

1.	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) are10 ms^(2)and 6400 km respectively. The required energy for this work will be.
Answer» Solution :Potential ENERGY`U = - mgR_(e ) +mgh` (The FIRST term is independent of the height, so it can betakento zero ) `W = U= mgh"" p[ h approxR]` ` = 1000 xx 10 xx 6400 xx10^(3) = 64 xx10^(9)` `W = 6.4 xx10^(10) J `