10 nC ) . 5 nC You wish to place a charge at A, which when released will move aw

Question

10 nC ) . 5 nC You wish to place a charge at A, which when released will move away from the two charges shown, and then determine the speed of the charge when it gets an infinite distance away from the two charges. The rectangle is 14.5 cm high and 29.4 cm wide. In order for the charge placed at A to move to infinity, you must use a proton an electron When released, approximately which direction will the charge initialy accelerate? Image an analog clock face placed at A with 12 o'clock upward. toward-Select o'clock How fast will the charge be moving when it gets an infinite distance from the two charges? X m/s

Explanation / Answer

Suppose you place a charge Q at the point A.
It's electrical potential energy there is (U = k q1 q2 / r):
U = k Q ( 10nC /14.5cm - 5nC/29.4cm)

That potential energy will be zero at infinite distance, so all potential energy will be converted into kinetic energy. Therefor

1/2 m v^2 = k Q (10nC / 14.5cm - 5nC/29.4cm)
v^2 = 2kQ/m ( 10E-9C / 0.145m - 5E-9C/0.294m)
v^2 = (Q/m)*935.25
v^2 = (1.6*10^-19/1.67*10^-27)*935.25

v = 2.9934*10^5 m/s

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