Question

The gravitational force between two bodies is 1 newton.If the distance between them is made twice, what will be the new force between them? Answer it fast please.....

Answer 1

Answer:

The gravitational force between two bodies after increasing distance will be 0.25 N

Explanation:

The mass of the first body is M

The mass of the second body is m

Let the distance between both the bodies be R

So the gravitational force between both the bodies be 1 N

$F=\dfrac{GMm}{R^2}=1$

Now the distance between both the bodies is made twice

R'=2R

The new gravitational force will be

$F'=\dfrac{GMm}{R'^2}$

$F'=\dfrac{GMm}{(2R)^2}\\F'=\dfrac{1}{4}\dfrac{GMm}{R^2}\\F'=\dfrac{1}{4}F\\F'=\dfrac{1}{4}\times 1\\F'=0.25\ N$

Answer 2

Answer:

The gravitational force between two bodies is 1 newton. If the distance between them is made twice, then the new force between them is 0.25N.

Explanation:

Every particle in the universe attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres, according to Newton's law of universal gravitation.

We know, Newton's law of gravitation in mathematical form is

$F =\frac{GMm}{r^2}$-------- (1)

Here F = 1 N (Given)

If the distance between them is made twice , then,

$F' =\frac{GMm}{(2r)^2}\\F' =\frac{GMm}{4r^2}$-------- (2)

Comparing (1) and (2)

$F' = \frac{F}{4}$= 0.25 N