Physics problem on electric charge and electric field, someone please help! Here

Question

Physics problem on electric charge and electric field, someone please help! Here is the question.

Three spiders are resting on the vertices of a triangular web. The sides of the triangular web have a length of a = 0.41 m, as depicted in the figure. Two of the spiders (S1 and S3) have +5.7 mu C charge, while the other (S2) has -5.7 mu C charge. (a) What are the magnitude and direction of the net force on the third spider (S3)? magnitude N direction degree counterclockwise from the +x-axis (b) Suppose the third spider (S3) moves to the origin. Would the net force on the third spider (S3) be greater than, less than, or equal to the magnitude found in part (a)? greater than in part (a) less than in part (a) equal to the part (a) (c) What are the magnitude and direction of the net force on the third spider (S3) when it is resting at the origin? magnitude ______________ N direction _____________ degree counterclockwise from the +x-axis

Explanation / Answer

it is an eqilateral triangle with side a

distance between two charges is a

s1 and s3 are of same magnitude and sign

where as s2 is of same magnitude but of opposite charge

so the mmagnituse of force exerting between s1s3=s2s3

but force F13 will be repulsive, F23 is attarctive

angle between them is 120 degrees

net F=13F23cos120

F13=F23=kq2/r2

part b)

when s lies mid way

r=a/2

angle between forces is zero

F=F13F23

F13=F23=kq2/(a/2)2

magnitude of teh force in second case is greater

partc)

F=F13F23 from part b)

and its direction is towards charge s2

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