A particle of mass 100 g is kept on the surface of a uniform sphere of mass 10 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle away from the sphere.

Question

Philoid · Accepted Answer

Mass of the particle,

Mass of sphere,

Radius of sphere,

Initial potential energy,

As the particle is to be taken away, we assume the final point to be approximately at infinite distance.

Hence, final potential energy , .

Now, the work done is given by,