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A proton travels directly (head on) towards a stationary lead nucleus, with an initial speed Vo,...

A proton travels directly (head on) towards a stationary lead nucleus, with an initial speed Vo, when the proton is a distance Xo from the nucleus. It undergoes an acceleration of magnitude a=kx^-2 directed away from the nucleus, where x is the distance from the proton to the nucleus and k is a positive constant. (Assume the lead nucleus remains stationary throughout.)

(a) Give an expression for how the velocity of the proton depends on x. (It will also depend on k, Vi, and Xi.)

(b) Find an expression for the distance of closest approach of the proton to the nucleus.

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