2 equal masses separated by a distance d attract each other with a force F. If one unit mass is transferred from one of them to the other, what happens to the force?

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Solution

F = G m1m2/d^2

one unit of mass is transferred from one to another

F = G (m-1)(m+1)/d^2

F=Gmm/d^2 - G *4/d^2

therefore the force decreases by 4/d^2

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2 equal masses separated by a distance d attract each other with a force F. If one unit mass is transferred from one of them to the other, what happens to the force?

F = G m1*m2/d^2 one unit of mass is transferred from one to another F = G* (m-1)(m+1)/d^2 F=G*m*m/d^2 - G *4/d^2 therefore the force decreases by 4/d^2

F = G m1m2/d^2

one unit of mass is transferred from one to another

F = G (m-1)(m+1)/d^2

F=Gmm/d^2 - G *4/d^2

therefore the force decreases by 4/d^2