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A mass M is split into two parts, m and M-m , which are then separated by a certain distance. What ratio m/M maximizes the magnitude of the gravitational force between the pairs?

A mass M is split into two parts, m and M-m, which are then separated by a certain distance. What ratio m/M maximizes the magnitude of the gravitational force between the pairs?

Grade:6

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear Nidhi

F=Gm(M-m)/r2

dF/dm = G/r2 (M-2m)=0

        m=M/2

m/M =1/2 

 

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