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Question

Three uniform spheres of mass M and radius R each are kept in such a way that each touches the other two. The magnitude of the gravitational force on any of the spheres due to the other two is


A

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B

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C

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D

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Solution

The correct option is A


Force between any two spheres will be :

F = G(M)(M)2R2 = GM4R2

The two forces of equal magnitude F are acting at angle 60 on any of the sphere

Fnet = F2+F2+2(F)(F)cos60 = 3F

or Fnet = 34 GM2R2


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