Newton proposed that the force of gravity between any two masses is proportional

Question

Newton proposed that the force of gravity between any two masses is proportional to the product of the two masses. So if either one of the masses doubles, the force doubles.

Let's imagine that he had gotten in wrong and said instead that the force of gravity varies as the sum of the two masses. Using this relationship, if one of the masses were doubled, by what factor would the gravitational force between the two masses change?

Select one:

a. It depends on the mass in question.

b. The force would increase by a factor of 2.

c. The force would increase by a factor of 1.333.

d. The force would remain the same.

e. The force would increase by a factor of 1.5.

Explanation / Answer

F is proportional to the product of the two masses.

Now, force of gravity varies as the sum of the two masses.

Then if one of the masses were doubled, then we can't say exactly.

It depends on the mass in question.

F   (m1 + m2)

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