If the mass of planet Earth doubled, how would the force of gravity between Earth and the Sun change?(1 point)

Responses

The force of gravity would not change
The force of gravity would not change

The force of gravity would double
The force of gravity would double

The force of gravity would decrease by half
The force of gravity would decrease by half

The force of gravity would increase four times

1 answer

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.