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When a proton encounters a large atomic nucleus, to a good approximation, we can assume that...

When a proton encounters a large atomic nucleus, to a good approximation, we can assume that the large nucleus is fixed in space. The main force between the nucleus and the proton is electrostatic. Assume a nucleus of charge 29 e is fixed at the origin, and a proton approaches it moving along the x-axis. When the proton moves directly at the nucleus, it turns a a distance 621 nm from the center of the nucleus, called its turning radius.

(a) What is the total energy of the proton?

(b) What is the electrostatic potential at the turning radius?

(c) What is the initial speed of the proton, assuming it started far away from the nucleus?

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