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The weight of a body of mass 3 kg at a h...

The weight of a body of mass 3 kg at a height of `12.8 xx 10^(6)` m from the surface of the Earth is ______.

A

`-3.23 xx 10^9 J`

B

`-3.19 xx 10^6 J`

C

`-2.5 xx 10^6 J`

D

`-4.0 xx 10^11 J`

Text Solution

Verified by Experts

The correct Answer is:
B
Here, mass of the earth `(M)= 6.0 xx10^24 kg,`
Mass of the body (m) = 50 kg and distance `( r) = 6.3 xx 10^9 m` Potential energy,
`U = - (GMm)/( r) = - ((6.7 xx 10^(-11) ) xx (6.0 xx 10^24) xx 50)/(6.3 xx 10^9 ) =3.19 xx 10^6 J`
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