What happens with the force of gravitation between two objects when the mass of one object is doubled?
- A.The force of gravitation is four times
- B.The force of gravitation is doubled
- C.The force of gravitation is tripled
- D.The force of gravitation is halved
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Explanation
The correct answer is B, The force of gravitation is doubled. Gravitational force is directly proportional to each mass, so doubling one mass doubles the force.
Newton law of universal gravitation states that the force between two bodies is F equal to G m1 m2 divided by r squared. Here G is the universal gravitational constant, about 6.67 into 10 to the power minus 11 newton metre squared per kilogram squared, and r is the distance between the centres. If m1 is doubled and nothing else changes, the numerator doubles and so does F.
Option A would be right only if both masses were doubled, or if the distance were halved. Option C does not follow from the formula. Option D is the opposite of what happens; the force would halve if one mass were halved. Note that the force depends on the square of the distance, so doubling r makes the force one fourth.
Exam tip: force is proportional to m1 into m2 and inversely proportional to r squared.