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Proton Moving along the Axis of a Charged Ring

time
12
initial velocity
-700000.
A proton moves along the axis of a uniformly positively charged ring (right figure). If the velocity is small, the ring repels the proton and it bounces backwards, but when the initial velocity is large enough, the proton passes through the ring, reaching a minimum velocity. The position
z
and velocity
v
z
are plotted as a function of time on the left. This problem illustrates an example of a force which varies with time.
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