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A set of point charges is held in place at the vertices of an equilateral triang

ID: 1651584 • Letter: A

Question

A set of point charges is held in place at the vertices of an equilateral triangle of side 10.0 cm , as shown in (Figure 1) .

Part A

What is the electric potential energy of the 3.00 nC charge?

Express your answer in joules to three significant figures.

Part B

What would be the maximum kinetic energy of the 3.00 nC charge if it were released from rest in the frictionless void of outer space? (Assume the other charges are held in place.)

Express your answer in joules to three significant figures.

Part C

When will this maximum kinetic energy be achieved, just following the release of the charges or after a very long time?

Problem 18.06 What is the electric potential energy ct the -30 nC charge? Express your answer in joules to three significant figu A set of point charges is held irn place at the verlices of an equilateral triangls of side 10.0 cm, as shown in (Eiqure 1 res. Submit My Answers Give Up Part B what would be the maximum kinetic energy ot tre-3 00 nC charge if it were released trom rest in the trictionless void ot outer space?Assume the other charges are held in placc) Express your answer in joules to three significant figures. ubmit My Answers Give Up Faure 1 1of1 Part C 25 g -4.00 nC When will this miaximum kinelic eniergy be athieved, just following the release of the charges or alter a very long tim? after a very long time just tollwina lhe release of 1he charge -2.00 nC 18 g -3.00 nC 15 g Submit My Answers Glve Un

Explanation / Answer

a)

a = side of the triangle = 10 cm = 0.1 m

q1 = - 4 x 10-9 C

q2 = - 2 x 10-9 C

q3 = - 3 x 10-9 C

electric potential energy of q3 is given as

U3 = k q1 q3/a + k q2 q3/a

U3 = k q3 (q1 + q2)/a = (9 x 109) ( - 3 x 10-9 ) ((- 2 x 10-9) + (- 3 x 10-9 ))/0.1 = 1.35 x 10-6 J

b)

using conservation of energy

maximum kinetic energy = maximum electric potential energy = 1.35 x 10-6 J

c)

after a very long time

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