The gravitational force between two objects is 10 N. If the distance between the
Practice Questions
Q1
The gravitational force between two objects is 10 N. If the distance between them is tripled, what will be the new force? (2022)
10 N
5 N
1.11 N
0.11 N
Questions & Step-by-Step Solutions
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.
