What happens to the gravitational force between two masses if one mass is triple

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Question: What happens to the gravitational force between two masses if one 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 masses if one mass is tripled?

What happens to the gravitational force between two masses if one mass is tripled?

Step 1: Understand that gravitational force depends on two things: the masses of the 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 a constant, m1 and m2 are the masses, and r is the distance between them.
Step 3: If one 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 mass is tripled, the gravitational force also triples.

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