Question

if distance between two objects decreased to 25 percent, what percent the gravitational force will be ?

Answer 1

Answer:

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The % change in gravitational force is decreases by 36%.

Option - A

Explanation:

We know that,

The formula of force of gravity, F =  

Where is theG is the Gravitational constant.

and  is the masses of the two bodies 1 and 2 respectively.

d is the distance of the of the two bodies.

Then,

If the the distance between two bodies is increased by 25%,

So,

d' is the distance of the of the two bodies after the distance increased by 25%,

                        d' = d +

                            = d +

                            =

Then,

The force of gravity after the distance increased by 25%, F' =

                        F' =

                           =

                            =  

                         F'=  F

The change in  gravitational force (%) =

                            =

                            =

                            =

                            = (-9)  4

                      = -36%

Here, the (-) negative sign indicates the decreasing of the gravitational force.

Hence, the % change in gravitational force is decreases by 36%.

Therefore the force decreases by 36%

Explanation: