Question

The figure shows a small positive charge some distance away from a larger positive charge. The smaller charge is currently a distance rı 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? Neither the force nor the potential energy change. Both the force and the potential energy increase. The force decreases, but the potential energy increases. Both the force and the poential energy decrease. The force increases, but the potential energy decreases. Part B: Suppose that there is a force of 0.0103 N when the smaller charge is at rı. What is the value of the force (F2) when the charge is moved to r2? F2 = 0.0412 N Part C: Suppose that the potential energy is 0.00557 J when the smaller charge is at r1. What is the vlaue of the potential energy (U) when the charge is moved to r2? U2 = J

Answer 1

A f = KQ, Q2 KQ, Q2 PE= 8 if r is decreased both F & PE will increase- (B 8,= 282 (Given) F = KO, Q₂ KOOL 0.0103 N 2 2 0.0103 x 4 20.0 4 12 N 82 E = KQ, Q₂ 0.04 12 N Ans 22 U, KQ, O2 KQ, O₂ 282 0.00557 J KQ, Q₂ 280.00557 =0001114 J ų = KO, O₂ 0.01114 J Aus- 2