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

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

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

Steps: 8

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.