Question

The magnitude of gravitational force between two objects is F. What change will increase the magnitude of gravitational force by three times the original magnitude?

Answer 1

Given:

The magnitude of gravitational force between two objects is F.

To find:

Changes that will increase the magnitude of gravitational force by three times the original magnitude.

Calculation:

Let the mass of the objects be M and m.

So initial Gravitational Force be F ;

$\boxed{ \sf{F = \dfrac{GMm}{ {d}^{2} }}}$

Now , new force is 3F ;

$\therefore\sf{F_{2} = 3F = 3 \times \bigg(\dfrac{GMm}{ {d}^{2} } \bigg)}$

So, this can be represented in infinte ways:

• I will give you some of the examples.

• If the mass M becomes 3M , force will become thrice.

• Or if the mass m becomes 3m, force will become thrice.

• Or if the distance becomes 1/√3 times the previous separation , force will become thrice.

• Or if M becomes 9M and mass m becomes m/3 , for will become thrice.

• Many such combinations are possible.

So infinite possibilities are there for force to become thrice.