Understanding the Law of Universal Gravitation

The force of gravity between two objects is determined by Newton's Law of Universal Gravitation:

* F = G * (m1 * m2) / r²

Where:

* F is the force of gravity

* G is the gravitational constant (approximately 6.674 × 10⁻¹¹ N⋅m²/kg²)

* m1 and m2 are the masses of the two objects

* r is the distance between the centers of the two objects

Solving the Problem

1. Double the mass: If you double the mass of one of the objects (let's say m1), the new force (F') will be:

* F' = G * (2 * m1 * m2) / r²

2. Simplifying: Notice that the new force is twice the original force:

* F' = 2 * (G * m1 * m2) / r²

* F' = 2 * F

Therefore, if the distance remains the same and the mass of one body is doubled, the new gravitational attraction will be 1000 newtons (double the original 500 newtons).