Mass M is divided into two parts x M and (1-x)M. For a given separation, the value of x for which the gravitational attraction between the two pieces becomes maximum is

Explanation

To solve the problem of finding the value of \( x \) for which the gravitational attraction between two pieces of mass \( M \) becomes maximum, we can follow these steps:

### Step 1: Define the masses
We have a total mass \( M \) divided into two parts:
- Mass 1: \( m_1 = xM \)
- Mass 2: \( m_2 = (1-x)M \)

### Step 2: Write the formula for gravitational force
...