(11%) Problem 6: A point charge Oi = +5.8 C is fixed in space, while a point cha
ID: 1789940 • Letter: #
Question
(11%) Problem 6: A point charge Oi = +5.8 C is fixed in space, while a point charge O2-26 nC. with mass 6.1 g is free to move around nearby 5000 Part (a) Calculate the electric potential energy of the system, in joules, when Q2 is located 0.35 m from 1 Grade Summarv Deductions Potential PE = 0% 100% Submissio Attempts remaining: 20 sinO cotan0 asin0 acos0 atan acotansinh0 coshO cosO tan ns 00 per attempt) detailed view tanh cotanhO 0 END Degrees Radians No BACKSPACE DELCLEAR Submit Hint Feedbac I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 50% Part (b) IO, is released from rest at a point 0.35 m from Qi, what will be its speed, in meters per second, when it is a 1-m fromExplanation / Answer
a) electric potential energy = [1 / 4pi e0 ] * [Q1 Q2 / r]
= (9 * 109 * 5.8 * 10-6 * -2.6 * 10-9) / 0.35
= -3.88 * 10-4 J
b) From law of conservation of energy
Ki + Ui = Kf + Uf
0 + [[1 / 4pi e0 ] * [Q1 Q2 / r1]] = 1/2 m v2 + [1 / 4pi e0 * Q1 Q2 / r2]
1/2 m v2 = 1 / 4pi e0 * Q1 Q2 [ 1/r1 - 1/r2]
v = sqrt [2/(6.1 * 10-6) * (9 * 109 * 5.8 * 10-6 * -2.6 * 10-9) * [1/0.35 - 1/0.17]]
= 11.6 m/s
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