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Three uniform spheres of masses m1 = 2.50 kg, m2 = 4.00 kg, and m3 = 8.00 kg are placed at the corners of a right triangle (see figure below). Calculate the resultant gravitational force on the object of mass m2, assuming the spheres are isolated from the rest of the Universe.
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Added Tue, 21 Jul '15
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F12 = G*m1m2/r^2 = 6.673x10^-11*2.5*4/3^2 = 7.414 x 10^-11 N j (+y direction)

F32 = G*m2m3/r^2 = 6.673x10^-11*4*8/4^2 = 13.35 x 10^-11 N (-i) (-x direction)

Fnet = F12 + F23 = - 13.35 x 10^-11 i + 7.414 x 10^-11 j N = ( -13.35 i + 7.414 j ) x 10^-11 N
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