Two particles, with charges of q1 = 50.0 nC and q2 = -50.0 nC, are placed at the

Question

Two particles, with charges of q1 = 50.0 nC and q2 = -50.0 nC, are placed at the points with coordinates (0, 12.00 cm) and (0, -12.00 cm) as shown in the figure below. A particle with charge q3 = 25.0 nC is located at the origin. (a) Find the electric potential energy of the configuration of the three fixed charges. The response you submitted has the wrong sign. J (b) A fourth particle, with a mass of 1.80 x 10^-13 kg and a charge of q4 = 100.0 nC, is released from rest at the point (9.00 cm, 0). Find its speed after it has moved freely to a very large distance away.

Explanation / Answer

part a)

potential energy

U=kq1q2/0.24+kq2q3/0.12+kq1q3/0.12

part b)

potential energy of q4 at point 0.09

U1=kq1q4/r+kq2q4/r+kq3q4/0.09

r=(0.122+0.092)1/2

KE at far away is equal to this potential energy

let speed of particle be v

mv2/2=U1

v=(2U1/m)1/2

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