The gravitational force between two objects is F. If masses of both the objects are halved without altering the distance between them, then the gravitational force would becomea.2Fb.F/4c.Fd.F/2
Question
The gravitational force between two objects is F. If masses of both the objects are halved without altering the distance between them, then the gravitational force would becomea.2Fb.F/4c.Fd.F/2
Solution
The gravitational force between two objects is given by Newton's law of universal gravitation:
F = G * (m1*m2) / r^2
where:
- F is the force between the masses,
- G is the gravitational constant,
- m1 and m2 are the masses of the objects, and
- r is the distance between the centers of the two objects.
If the masses of both the objects are halved, the equation becomes:
F' = G * ((m1/2)(m2/2)) / r^2 = G * (m1m2) / (4*r^2) = F / 4
So, the gravitational force would become F/4. Therefore, the correct answer is (b) F/4.
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