A small particle of mass m slides without friction on the surface of a large sph

Question

A small particle of mass m slides without friction on the surface of a large sphere B. The sphere B is fastened to a horizontal table in the gravitational field of the Earth, such that B cannot move. To begin with the mass is at rest at the highest point on the sphere. We now give the mass a miniscule (it can be neglected in your approach to the problem) nudge to start it moving. It begins to slide down the sphere, B. At what angle measured from the center of the sphere does the mass leave the sphere B?

Explanation / Answer

Why, in the difference in potential energy, PE = mgh,      

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