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?
10N
20N
40N
80N
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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