Two identical point charges ( q = +8.20 x 10 -6 C) are fixed at opposite corners
ID: 2270866 • Letter: T
Question
Two identical point charges (q = +8.20 x 10-6 C) are fixed at opposite corners of a square whose sides have a length of 0.340 m. A test charge (q0 = -7.80 x 10-8 C), with a mass of 7.60 x 10-8 kg, is released from rest at one of the corners of the square. Determine the speed of the test charge when it reaches the center of the square.
Two identical point charges (q = +8.20 x 10-6 C) are fixed at opposite corners of a square whose sides have a length of 0.340 m. A test charge (q0 = -7.80 x 10-8 C), with a mass of 7.60 x 10-8 kg, is released from rest at one of the corners of the square. Determine the speed of the test charge when it reaches the center of the square.Explanation / Answer
U1 = 2*k*q*qo/a^2
= -2*9*10^9*8.2*10^-6*7.8*10^-8/0.34^2
= -9.96*10^-2 J
U2 = 2*k*q*qo/(sqrt(2)*a/2)^2
= 4* 9*10^9*8.2*10^-6*7.8*10^-8/(0.34^2)
= -19.92*10^-2 J
workdone = U2-U1 = 9.96*10^-2 J
workdone = change in ke
W = 0.5*m*v^2
v = sqrt(2*w/m)
= sqrt(2*9.96*10^-2/7.6*10^-8)
= 1.62*10^3 m/s
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