Problem 3.46 Part A The figure(Figure 1) shows four electrical charges located a

Question

Problem 3.46 Part A The figure(Figure 1) shows four electrical charges located at the corners of a rectangle. Like charges, you will recall, repel each other while opposite charges attract. Charge B exerts a repulsive force (directly away from B) on charge A of 2.1 N. Charge C exerts an attractive force (directly toward C) on charge A of 4.2 N . Finally, charge D exerts an attractive force of 1.4 N on charge A. Assuming that forces are vectors, what is the magnitude of the net force Fnet exerted on charge A? Express your answer using two significant figures net = Submit My Answers Give Up Part B Figure 1 of 1 What is the direction of the net force Fnet exerted on charge A? Express your answer using two significant figures 41 cm+ 100 cm counterclockwise from the left Submit My Answers Give Up Continue

Explanation / Answer

A) Force on A by B is FB = 2.1 N

Force on A by C is FC = 4.2 N

Force on A by D is FD = 1.4 N

let the origin be at A

let the horizontal as X-axis and vertical as y-axis

Net force along X-axis is -2.1-1.4*cos(theta) = -2.1-(1.4*(141/sqrt(141^2+100^2))) = -3.24 N

Net force along y-axis is -4.2-(1.4*sin(theta)) = -4.2 -(1.4*(100/sqrt(141^2+100^2))) = -5 N

Fnet = sqrt(3.24^2+5^2) = 5.95 N

B) theta = tan^(-1)(5/3.24) = 57 deg

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