6. 112 points | Previous Answers SerPSE9 25.P017 My Notes Ask Your Teacher Two p

Question

6. 112 points | Previous Answers SerPSE9 25.P017 My Notes Ask Your Teacher Two particles, with charges of 10.0 nC and q210.0 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 q3-5.0 nC is located at the origin. q, q. (a) Find the electric potential energy of the configuration of the three fixed charges. 3.75E-6 (b) A fourth particle, with a mass of 1.62 x 10-13 kg and a charge of q4 20.0 nC, is released from rest at the point (9.00 cm,). Find its speed after it has moved freely to a very large distance away 19245.0 Your response differs from the correct answer by more than 10%. Double check your calculations. m/s Need Help? ReadIt

Explanation / Answer

potential due to q1,q2,q3 at the location of q4 V1 = k*q1/r14 + k*q2/q24 + k*q3/q34

r14 = r24 = r

V1 = 9*10^9*10^-9/r - 9*10^-9*10*10^-9/r + 9*10^9*5*10^-9/0.09 = 500 V

potential at inifinity v2 = 0

work done = -dV*q4

work = v1*q4

from work energy relation

work = change in KE = (1/2)*m*(v2^2 - v1^2)

500*20*10^-9 = (1/2)*1.62*10^-13*(v2^2-0)

v2 = 1.11*10^4 m/s

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