Mass `M` is split into two parts `m` and `(M-m)`, which are then separated by a certain distance. What is the ratio of `(m//M)` which maximises the gravitational force between the parts ?

Explanation

To find the ratio of \( \frac{m}{M} \) that maximizes the gravitational force between two parts of mass \( M \) split into \( m \) and \( (M - m) \), we can follow these steps:

### Step 1: Write the expression for gravitational force
The gravitational force \( F \) between two masses \( m \) and \( (M - m) \) separated by a distance \( R \) is given by Newton's law of gravitation:

\[ F = \frac{G \cdot m \cdot (M - m)}{R^2} \]
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