Question

I honestly guessed on the answer I’m not really sure if it’s right so if someone could please explain it to me that would be great!

Answer 1

To find:

What happens to the gravitational force when the mass of one of the objects is doubled.

Step-by-step explanation:

From Newton's law of gravitation, The gravitational force between two objects is directly proportional to the product of the masses of the objects and inversely proportional to the square of the distance between the objects.

Thus the gravitational force between the objects of mass M and m that is separated by a distance of r is given by,

`F=(GMm)/(r^2)`

Where G is the gravitational constant.

Let us say the mass m is doubled, then the new value of the gravitational force between the objects is given by,

`\begin{gathered} F_n=(GM*2m)/(r^2) \\ =(2GMm)/(r^2) \\ =2F \end{gathered}`

Final answer:

Thus, when the gravitational force between the objects will double if the mass of one of the objects is doubled.

Thus the correct answer is option C.