Three uniform spheres of masses m 1 = 3 .50 kg, m 2 = 4.00 kg, and m 3 = 7 .00 k

Question

Three uniform spheres of masses m1 = 3.50 kg, m2 = 4.00 kg, and m3 = 7.00 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.

Three uniform spheres of masses m1 = 3.50 kg, m2 = 4.00 kg, and m3 = 7.00 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.

Explanation / Answer

F12= G*m1*m2/3^2 j= 6.67E-11*3.5*4/3^2 j = 1.037E-10 j N

F32 = G*m3*m2/4^2 (-i)= 6.67E-11*7*4/4^2 (-i)= -1.167 E-10 i N

==> net force = -1.167 E-10 i + 1.037E-10 j N

==> Net force = (-11.67 i +10.37 j) *10^-11 N

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