Potential Energy Comprehension ** A) I thought the answer was they both increase

Question

Potential Energy Comprehension

** A) I thought the answer was they both increase as r goes down, this is incorrect.

B) I said F=0.0143/4 and it was wrong.

C) I did PE = 5.37x10^-3 / 2 and that was wrong

Help!

Map t e figure at the right shows a small positive charge some aistance away from a larger positive charge. The smaller charge is currently a distance r1 away from the center of the larger charge, which is twice as far away as r2. Answer the three questions below, using three significant digits. Part A: What happens to the potential energy and the force if the smaller charge is moved to r2? O O Both the force and the poential energy decrease. Both the force and the potential energy increase. The force increases, but the potential energy decreases. The force decreases, but the potential energy increases O Neither the force nor the potential energy change. Part B: Suppose that there is a force of 0.0143 N when the smaller charge is at r1. What is the value of the force (F2) when the charge is moved to r2? Number

Explanation / Answer

(A). Both force and potential energy increases

(B). Force at r1 is F1 = 0.0143 N

Force at r2 is F2 =?

We know F1/F2 = (r2/r1) 2

                        = (1/2) 2      Since r2 = r1/2

                        = 1/4

From this F2 = 4F1

                   = 4x0.0143 N

                  = 0.0572 N

(C). Potential energy at r1 is U1 = 5.77 x10 -3 J

Potential energy at r2 is U2 = ?

we know U2/U1 = r1/r2

                        = r1/(r1/2)

                        = 2

                   U2 = 2U1

                        = 2(5.77 x10 -3 )

                        = 11.5 x10 -3 J

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