The figure(Figure 1) shows four electrical charges located at the corners of a r

Question

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 2.1N . Charge C exerts an attractive force (directly toward C) on charge A of 4.2N . Finally, charge D exerts an attractive force of 1.4N on charge A. Assuming that forces are vectors, what is the magnitude of the net force ec{F}_{ m net} exerted on charge A? What is the direction of the net force ec{F}_{ m net} exerted on charge A?

Explanation / Answer

net force will be -2.1i+4.2cos 45i+4.2sin45j+1.4j=0.86i+4.36j

so magnitude will be=4.44N

so unit vector of resultant=0.19i+0.98j
=cos-1(0.19)=79.04deg

=cos-1(0.98)=11.48deg

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