How does the gravitational force between two objects change if the mass of one object is halved?

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Q: How does the gravitational force between two objects change if the mass of one object is halved?

Solution: Gravitational force is directly proportional to the product of the masses. Halving one mass halves the force.

Steps: 5

Step 1: Understand that gravitational force depends on the masses of two objects and the distance between them.
Step 2: Remember the formula for gravitational force: F = G * (m1 * m2) / r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses, and r is the distance between the centers of the two objects.
Step 3: If we halve the mass of one object (let's say m1 becomes m1/2), we can rewrite the formula as F' = G * ((m1/2) * m2) / r^2.
Step 4: Notice that (m1/2) * m2 is half of m1 * m2, so the new force F' is half of the original force F.
Step 5: Conclude that halving the mass of one object results in halving the gravitational force between the two objects.