Gravitational force between two objects with mass `m_(1)" and "m_(2)` kept r distance apart is given as `F_(G)= (Gm_(1)m_(2))/(r^2)`, where G is gravitational constant. Express the relative error in `F_(G)`.

Explanation

To express the relative error in the gravitational force \( F_G \) between two objects with masses \( m_1 \) and \( m_2 \) separated by a distance \( r \), we start with the formula for gravitational force:

\[ F_G = \frac{G m_1 m_2}{r^2} \]

### Step 1: Identify the variables and their uncertainties
The variables in the equation are \( G \), \( m_1 \), \( m_2 \), and \( r \). The uncertainties in these measurements can be denoted as \( \Delta G \), \( \Delta m_1 \), \( \Delta m_2 \), and \( \Delta r \).
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