Question

What happens to the gravitational force between two objects, when the mass of one object is halved. plsss answer it fast

Answer 1

Answer:

The force is halved as well if the other constraints remain constant.

Explanation:

The gravitational force is directly proportional to the product of mass. hence when one of the mass is halved, it is halved as well.

Answer 2

Given:

• Mass of an object becomes half.

To find:

• Gravitational force between the objects?

Calculation:

• Let the initial masses be m and M. The separation distance be d :

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

• Now, let's assume that mass M becomes M/2: (as per the question) , but separation distance remains same

So, new force will be :

$F_{2} = \dfrac{G \times \dfrac{M}{2} \times m}{ {d}^{2} }$

$\implies F_{2} = \dfrac{G \times M \times m}{2 {d}^{2} }$

$\implies F_{2} = \dfrac{1}{2} \times \dfrac{G \times M \times m}{ {d}^{2} }$

$\implies F_{2} = \dfrac{1}{2} \times \dfrac{G M m}{ {d}^{2} }$

$\implies F_{2} = \dfrac{1}{2} \times F$

So, Gravitational Force becomes halved.