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A mass M is broken into two parts of masses m1 and m2. How are m1 and m2 related so that force of gravitational attraction between the two parts is maximum.

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Let m1 = m, then m2 = M - m. Gravitational force of attraction between them when placed distance r apart will be = Gm(M-m)/r2.

Differentiating it w.r.t. m, we get

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