The amount of the gravitational force doubles.
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 \( m_1 \) and \( m_2 \) are the masses of the two objects, \( r \) is the distance between their centers, and \( G \) is the gravitational constant.
If the mass of one object doubles (let's say \( m_1 \) becomes \( 2m_1 \)), and the other mass \( m_2 \) and the distance \( r \) remain the same, the new gravitational force can be calculated as follows:
\[ F' = G \frac{(2m_1) m_2}{r^2} = 2 \left(G \frac{m_1 m_2}{r^2}\right) = 2F \]
Thus, the gravitational force doubles.