Two objects of equal masses placed at certain distance from each other attracts each other with a force of F . If one-third mass of one object is transferred to the other object, then the new force wi

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Two objects of equal masses placed at certain distance from each other attracts each other with a force of F . If one-third mass of one object is transferred to the other object, then the new force will be

TestHub · Accepted Answer

The gravitational force between particles is given by, $F = \frac{G m_{1} m_{2}}{r^{2}}$

$∵ F = \frac{G m^{2}}{r^{2}}$

When one-third mass is transferred to other object

$m_{1} = \frac{2 m}{3}, m_{2} = \frac{4 m}{3}$

$F_{2} = \frac{8 G m^{2}}{9 r^{2}}$

$\Rightarrow F_{2} = \frac{8}{9} F$

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