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Why is the following situation impossible? You set up an apparatus in your labor

ID: 1964348 • Letter: W

Question

Why is the following situation impossible? You set up an apparatus in your laboratory as follows. The x axis is the symmetry axis of a stationary, uniformly charged ring of radius R = 0.500 m and charge Q = 50.0 C. You place a particle with charge Q = 50.0 C and mass m = 0.100 kg at the center of the ring and arrange for it to be constrained to move only along the x axis. When it is displaced slightly, the particle is repelled by the ring and accelerates along the x axis. The particle moves faster than you expected and strikes the opposite wall of your laboratory at 40.0 m/s.

Explanation / Answer

Inital potential E: U = kQq/r (just after equilibrium point) so U = (9x10^9)*(2500x10^-12)/(0.5) = 45 J

Final kenetic E: K = 1/2mV^2 = 1/2*(0.1)*(40)^2 = 80 J

Final kenetic cannot exceed initial potential. That doesn't make sense...

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