What happens to the gravitational force if the mass of one object is tripled?

₹0.0

Question: What happens to the gravitational force if the mass of one object is tripled?

Options:

Correct Answer: It becomes three times stronger

Solution:

The gravitational force is directly proportional to the product of the masses, so tripling one mass triples the force.

What happens to the gravitational force if the mass of one object is tripled?

What happens to the gravitational force if the mass of one object is tripled?

Step 1: Understand that gravitational force depends on the masses of two objects and the distance between them.
Step 2: Recall 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 masses.
Step 3: If we triple the mass of one object (let's say m1 becomes 3 * m1), the formula becomes F = G * (3 * m1 * m2) / r^2.
Step 4: Notice that the new force is now three times the original force because we multiplied m1 by 3.
Step 5: Conclude that tripling the mass of one object results in tripling the gravitational force between the two objects.

Gravitational Force – The gravitational force between two objects is determined by the formula F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between their centers.
Direct Proportionality – The gravitational force is directly proportional to the product of the masses involved, meaning if one mass increases, the gravitational force increases in direct relation to that change.