The gravitational force between two objects is 10 N. If the distance between the

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Question: The gravitational force between two objects is 10 N. If the distance between them is tripled, what will be the new force? (2022)

Options:

Correct Answer: 1.11 N

Exam Year: 2022

Solution:

If the distance is tripled, the force becomes F/9, which is approximately 1.11 N.

The gravitational force between two objects is 10 N. If the distance between them is tripled, what will be the new force? (2022)

The gravitational force between two objects is 10 N. If the distance between them is tripled, what will be the new force? (2022)

Step 1: Understand that the gravitational force between two objects depends on 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 of the objects, and r is the distance between them.
Step 3: Note that if the distance (r) is tripled, it becomes 3r.
Step 4: Substitute 3r into the formula: F' = G * (m1 * m2) / (3r)^2.
Step 5: Simplify the equation: F' = G * (m1 * m2) / (9r^2).
Step 6: This shows that the new force (F') is 1/9 of the original force (F).
Step 7: Since the original force is 10 N, calculate the new force: F' = 10 N / 9.
Step 8: Perform the division: 10 N / 9 is approximately 1.11 N.

Gravitational Force – The gravitational force between two objects is inversely proportional to the square of the distance between them, as described by Newton's law of universal gravitation.
Inverse Square Law – When the distance between two masses is increased, the gravitational force decreases by the square of the factor by which the distance is increased.