The force of gravity between two masses is described by Newton's law of gravitation, which states:
\[ F = G \frac{m_1 m_2}{r^2} \]
where \( F \) is the gravitational force, \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between the centers of the two masses.
If the mass of the Earth (one of the two masses involved) doubles, the force of gravity between the Earth and the Sun would also double, since the force is directly proportional to the mass of the objects. Therefore, the correct response is:
The force of gravity would double.