What happens to the gravitational force between two objects if one object's mass

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Question: What happens to the gravitational force between two objects if one object\'s mass is tripled?

Options:

Correct Answer: It triples

Solution:

The gravitational force is directly proportional to the product of the masses. If one mass is tripled, the force also triples.

What happens to the gravitational force between two objects if one object's mass is tripled?

What happens to the gravitational force between two objects if one object's mass is tripled?

Step 1: Understand that gravitational force depends on the masses of the 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 objects.
Step 3: If one object's mass (let's say m1) is tripled, it becomes 3 * m1.
Step 4: Substitute the new mass into the formula: F' = G * (3 * m1 * m2) / r^2.
Step 5: Notice that the new force F' is three times the original force F, because F' = 3 * (G * (m1 * m2) / r^2) = 3 * F.
Step 6: Conclude that if one object's mass is tripled, the gravitational force between the two objects also triples.

Gravitational Force – The gravitational force between two objects is determined by Newton's law of universal gravitation, which states that the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.