A mass \( M \) is split into two parts \( m \) and \( (M-m) \), which are then separated by a ce....

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A mass \( M \) is split into two parts \( m \) and \( (M-m) \),
\( \mathrm{P} \)
which are then separated by a certain distance. The ratio \( m / M \) which maximizes the gravitational force between the parts is
(1) \( 1: 4 \)
(2) \( 1: 2 \)
(3) \( 4: 1 \)
(4) \( 2: 1 \)


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