Question

What is value of gravitational potential energy at the centre of a solid sphere? What is its percentage of its value at the surface of the sphere?

Answer 1

Gravitational potential energy at the centre and its value on the surface \(=-\frac{3GMm}{R}\) and its value on the surface \(=-\frac{GMm}{R}\)

Therefore its value at the centre is 150% of its value on its surface.