According to Newton's law of universal gravitation, the gravitational force \( F \) between two objects is given by the formula:
\[ F = G \frac{{m_1 m_2}}{{r^2}} \]
where:
- \( F \) is the gravitational force,
- \( G \) is the gravitational constant,
- \( m_1 \) and \( m_2 \) are the masses of the two objects,
- \( r \) is the distance between the centers of the two objects.
If the mass of one object doubles (let's say \( m_1 \) becomes \( 2m_1 \)), the new gravitational force \( F' \) would be:
\[ F' = G \frac{{(2m_1) m_2}}{{r^2}} = 2 \left( G \frac{{m_1 m_2}}{{r^2}} \right) = 2F \]
This indicates that the gravitational force will also double.
So, the correct response is:
The amount of the gravitational force doubles.