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In the figure below, three 2.00 kg spheres are located at distances d1 = 0.300 m...

In the figure below, three 2.00 kg spheres are located at distances d1 = 0.300 m and d2 = 0.400 m. What are the magnitude and direction of the net gravitational force on sphere B due to spheres A and C?

magnitude N
direction
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Answer #1

FAB = G*m^2/d1^2 = 6.67*10^-11*2^2/0.3^2 = 2.964*10^-9 N (towards +y axis)

FBC = G*m^2/d2^2 = 6.67*10^-11*2^2/0.4^2 = 1.668*10^-9 N (towards +x axis)

Fnet = sqrt(FAB^2+FBC^2) = 3.4*10^-9 N

direction, theta = tan^-1(FAB/FBC)

= tan^-1(2.964/1.668)

= 60.63 degrees

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