d/3 d/3 K2 d/3 k1 4. Cecil is the slowest eater of the pack. The other two often

Question

d/3 d/3 K2 d/3 k1 4. Cecil is the slowest eater of the pack. The other two often try to come eat her food after they have finished their own meals. Cecil has come up with a plan (which is never good). She places 50.0 HC on each of their dog collars. (a) How much work would Gretta have to do to get within 0.500 m of Cecil? (b) How much total work would be needed for Cecil, Gretta, and Buster to form an equilateral triangle of sidelength 0.500m? *Please join us next time, when the dogs go trick or treating for Halloween.***

Explanation / Answer

a)The potential due to 50 uC of charge at 0.5 m will be:

V = k q/r = 9 x 10^9 x 50 x 10^-6/0.5 = 9 x 10^5 V

Work done is:

W = U = q V

W = 50 x 10^-6 x 9 x 10^5 = 45 J

Hence, W = 45 J

b)This work will be equal to the potential energy of the configuration

since, there is no charge on Cecil, q1 = 0

q2 = q3 = 50 uC

U = k/r (q1q2 + q2q3 + q3q1) = 9 x 10^9/0.5(0 + 50 x 50 x 10^-12 + 0 ) = 45 J

Hence, U = 45 J

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