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The mass of a spaceship is 1000 kg. It i...

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 :

A

`6.4xx10^(10)` joules

B

`6.4xx10^(11)` joules

C

`6.4xx10^(8)` joules

D

`6.4xx10^(9)` joules

Text Solution

Verified by Experts

The correct Answer is:
A
`w=0-(-(GM_(m))/(R ))=(GM_(m))/(R )`
`=gR^(2)xx(m)/(R )=mgR`
`=1000xx10xx6.4xx10^(6)`
`=6.4xx10^(10)J`
So, correct choice is (a).
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