Question on: JAMB Physics - 2024

The gravitational force between two objects is 10N, what is the new value of the force if the distance between them is halved? 

A

10N

B

20N

C

40N

D

80N

Ask EduPadi AI for a detailed answer
Correct Option: C

The gravitational force (F) between two objects is given by Newton's law of gravitation:

F = G * (m1 * m2) / r^2

Where:
- G is the gravitational constant
- m1 and m2 are the masses of the objects
- r is the distance between the objects

If the distance (r) is halved, the new distance becomes r/2. The new force (F') can be calculated as follows:

F' = G * (m1 * m2) / (r/2)^2 = 4 * G * (m1 * m2) / r^2 = 4 * F

Since the original force F is 10N, the new force F' will be:

F' = 4 * 10N = 40N

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