A classical mechanics problem by Tushar Showrav

The magnitude of the force of gravity between two identical objects is given by F F . If the mass of each object is doubled but the distance between them is 0, then the new force of gravity between the objects will be

F undefined 16F 4F F/2

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1 solution

F = G m 1 m 2 r 2 F=G \cdot \dfrac{m_1\cdot m_2}{r^2}

Since masses are doubled and r = 0 r=0 ,

F = G 2 m 1 2 m 2 0 F=G \cdot \dfrac{2m_1\cdot2m_2}{0} .

Since division by 0 0 is undefined, so the Force F F is also undefined.

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