The magnitude of the force of gravity between two identical objects is given by . 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
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F = G ⋅ r 2 m 1 ⋅ m 2
Since masses are doubled and r = 0 ,
F = G ⋅ 0 2 m 1 ⋅ 2 m 2 .
Since division by 0 is undefined, so the Force F is also undefined.