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Mass M, of a planet earth is uniformly d...

Mass `M`, of a planet earth is uniformly distributed over a spherical volume of radius `R`. Calculate the energy needed to deassemble the planet against the gravitational pull amongst its consituent particles. Given
`mR = 2.5 xx 10^(31) kg m` and `g = 10 ms^(-2)`.

Text Solution

Verified by Experts

The correct Answer is:
`1.5xx10^32` J
Similar calculations can gives us the gravitational potential energy of a uniform sphere
`=3/5 (GM^2)/R =3/5 (GM)/R^2 (MR) =3/5 g (MR) =3/5xx9.8xx2.5xx10^31=1.47xx10^32` Joules
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