Two objects are attracted to each other by a gravitational force $ F $. If each mass is tripled, so that each becomes $ 3 $ times its original value, and the distance between the objects is cut in half to $ \dfrac{1}{2} $ of its original separation, what is the new gravitational force between the objects in terms of $ F $?

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Question

Two objects are attracted to each other by a gravitational force $ F $. If each mass is tripled, so that each becomes $ 3 $ times its original value, and the distance between the objects is cut in half to $ \dfrac{1}{2} $ of its original separation, what is the new gravitational force between the objects in terms of $ F $?(a) $$ 24F $$
, (b) $$ 36F $$
, (c) $$ 16F $$
, (d) $$ \dfrac{1}{16}F $$
, (e) $$ \dfrac{1}{24}F $$
:

Jason · Accepted Answer

See how Prof Phy solves this.

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