If the gravitational force between two objects is 20 N and the distance between

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Question: If the gravitational force between two objects is 20 N and the distance between them is doubled, what will be the new force?

Options:

Correct Answer: 5 N

Solution:

F is inversely proportional to r². If r is doubled, F becomes F/4 = 20 N / 4 = 5 N.

If the gravitational force between two objects is 20 N and the distance between them is doubled, what will be the new force?

If the gravitational force between two objects is 20 N and the distance between them is doubled, what will be the new force?

Step 1: Understand that gravitational force (F) depends on the distance (r) between two objects.
Step 2: Remember that gravitational force is inversely proportional to the square of the distance (r). This means if the distance increases, the force decreases.
Step 3: If the distance is doubled, we can say r becomes 2r.
Step 4: Since F is inversely proportional to r², we can write the new force as F' = F / (2²).
Step 5: Calculate 2², which is 4.
Step 6: Now, substitute the original force (20 N) into the equation: F' = 20 N / 4.
Step 7: Perform the division: 20 N / 4 = 5 N.
Step 8: Conclude that the new gravitational force when the distance is doubled is 5 N.

Gravitational Force – The gravitational force between two objects is determined by the formula F = G(m1*m2)/r², 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 their centers.
Inverse Square Law – The gravitational force is inversely proportional to the square of the distance between the two objects, meaning that if the distance increases, the force decreases by the square of that increase.