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

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

A

`6.4xx10^(11) J`

B

`6.4xx10^(8) J`

C

`6.4xx10^(9) J`

D

`6.4xx10^(10) J`

Text Solution

Verified by Experts

The correct Answer is:
D
`1/2mv^(2)-(GMm)/R=0`
`1/2mv^(2)=(GMm)/R=mgR=1000xx10xx6400xx10^(3)`
`=6.4xx10^(10) J`
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