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How much energy will be needed for a body of mass 100kg to escape from the earth- `(g = 10m//S^(2) and radius of earth = 6.4 xx 10^(6) m)`

A

`3.2xx10^(9)J`

B

`6.4xx10^(9)J`

C

`1.6xx10^(9)J`

D

`8xx10^(9)J`

Text Solution

Verified by Experts

The correct Answer is:
b
`E=(GMm)/(R)=(gR^(2)m)/(R)=mgR`
`=100xx10xx6.4xx10^(6)=6.4xx10^(9)J`
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