what will be the change in gravitational force in % when distance increases 25%
Answers
Answer: 36 %
Explanation:
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.