The mass of the Earth is `6.0xx10^(24)` kg. The potential energy of a body of mass 50 kg at a distance of `6.3xx10^(9)` m from the centre of the Earth is:

Options

A. `-3.23xx10^(9)J`
B. `-3.19xx10^(6)J`
C. `-2.5xx10^(6)J`
D. `-4.0xx10^(11)J`

Answer

B

Explanation

Here,
mass of the Earth (M) = `6.0xx10^(24)` kg,
mass of the body (m) = 50 kg and
distance `(r)=6.3xx10^(9)m`.
Potential energy,
`U=-(GMm)/(r)`
`=-((6.7xx10^(-11))xx(6.0xx10^(24))xx50)/(6.3xx10^(9))`
`=-3.19xx10^(6)J`