Question : If distance between two bodies is doubled and their masses are also doubled the gravitational force willIncrease four times Decrease four times Remain constant None of these
Question
Question : If distance between two bodies is doubled and their masses are also doubled the gravitational force willIncrease four times Decrease four times Remain constant None of these
Solution
The gravitational force between two bodies 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 two masses, and r is the distance between the centers of the two masses.
If the distance (r) between the two bodies is doubled, the denominator of the equation becomes (2r)^2 = 4r^2.
If the masses (m1 and m2) are also doubled, the numerator of the equation becomes 2m12m2 = 4m1m2.
So the new force F' is:
F' = G * (4m1m2) / (4r^2) = G * (m1m2) / r^2 = F
So the gravitational force remains constant. Therefore, the correct answer is "Remain constant".
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