Question

Three point charges are located on the positive x-axis of a coordinate system. Charge q1 = 1.5 nC is 2.0 cm from the origin, charge q2 = -2.0 nC is 4.0 cm from the origin and charge q3 = 6.0 nC located at the origin. What is the net force ((a)magnitude and (b) direction) on charge q1 = 1.5 nC exerted by the other two charges?

Constants Part A Three point charges are located on the positive x-axis of a coordinate system. Charge g 1.5 nC is 2.0 cm from the origin, charge 2 -2.0 nC is 4.0 cm fron the origin and charge 6.0 nC located at the origin. What is the net foroe ((a)magnituce and (b) direction) on charge 1.5 nC exerted by the other two charges? Express your answer using two significant figures. Submit X incorrect; Try Again: 9 attempts remaining Part B θ- O a counterclockwise from the +z direction Correct

Answer 1

Net force on q_1: - By coulomb's law force = kq_1 q_2/r^2 + kq_1 q_3/r^2 q_1 F_2 rightarrow F_3 F_2 = kq_1 q_2/r_2^2 = 9 times 10^9 times 1.5 times 10^- 9 times 2 times 10^- 9/(2 times 10^- 2)^2 F_2 = 6.75 times 10^- 5 N F_3 = kq_1 q_2/r_3^2 = 9 times 10^9 times 6 times 1.5 times 10^- 18/(2 times 10^- 2)^2 F_3 = 20.25 times 10^- 5 N F_net = F_2 + F_3 = 27 times 10^- 5 N F_net = 2.7 times 10^- 4 N Answer (b) Towards +ve x - axis