Question

A point charge, q1= 8 C, is located (2.0 cm, 1.0 cm). A second point charge,...

A point charge, q1= 8 C, is located (2.0 cm, 1.0 cm). A second point charge, q2 = 12 c, is located at (-3.0cm, -3.0cm). A third point charge, q3, is located at (3.00com, -4.00cm). The net force acting on q3 is 254.500 N, theta = 135.535 degrees.

What is the charge of q3?

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Answer #1

let's start with finding distances between q1 and q3= sqroot ( 5^2 + 1^2) = sqroot ( 26)

angle = tan^-1 (1/5) =11.31 degree apprx

distance between q2 and q3= sqroot ( 6^2 + 1^2) = sqroot ( 37)

angle = tan^-1 ( 1/6) = 9.46 degree apprx

Fx = K ( q1) ( q3) sin 11.31 / 26 + K ( q2) ( q3) cos 9.46 / 37 = 3.42 x 10^9 ( q3)

Fy = K ( q1) ( q3) cos11.31 / 26 + K ( q2) ( q3) sin9.46 / 37 =3.2 x 10^9 ( q3)

Fnet -= sqroot ( Fx^2 + Fy^2)

254.500 =10^9 (q3) 4.68

q3= 5.44 x 10^ -8 Capprx

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