S Cutnell, Physics, 10e Practice- ORION Dow 24 m. A test charge (ao- 9.20 x 10 C
ID: 1575277 • Letter: S
Question
S Cutnell, Physics, 10e Practice- ORION Dow 24 m. A test charge (ao- 9.20 x 10 C), with a mass of Two identical point charges (q +3.30 x 106 C) are fixed at opposite corners of a square whose sides have a length of 0.530 3.40 x 10-d 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. Units m/s By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor Question Attempts: 0 of 3 used SAVE FOR LATERSUBMET ANSWER 10:00 PM 1/31/2018Explanation / Answer
Given,
q = 3.3 x 10^-6 C ; a = 0.53 m
q0 = -9.2 x 10^-8 C ; m = 3.4 x 10^-8 kg
Let v be the speed.
from conservation of energy,
q (V2 - V1) = 1/2 m v^2
V1 = 2 k q/a
V1 = 2 x 9 x 10^9 x 3.3 x 10^-6/0.53 = 1.12 x 10^5 V
V2 = 2 k q/r
V2 = 2 x 9 x 10^9 x 3.3 x 10^-6/sqrt(2 x 0.265^2) = 1.58 x 10^5 V
V2 - V1 = (1.58 - 1.12) x 10^5 = 4.6 x 10^4 V
U = KE = 9.2 x 10^-8 x 4.6 x 10^4 = 0.004232 J
v = sqrt (2KE/m)
v = sqrt (2 x 0.004232/(3.4 x 10^-8)) = 499 m/s
Hence, v = 499 m/s
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