Question

Find the distance between two stones each of mass 2 kg so that the gravitational force between them is 1N

Answer 1

Newton's Law of Gravitation states that the gravitational force between any two objects is the product of their masses divided by the distance between their centres of mass squared all multiplied by the gravitational constant. 
there fore F = (Gm1m2)
Gravitational constant = 6.67x10^-11 ,  F = 1 and m1 and m2 = 2 

apply in above formula we get 1 = (6.67x10^-11 x 2 x 2)/r^2 

rearranging, we get r^2 = 6.67x10^-11 x 2 x 2 

therefore r^2 = 2.6692x10^-10 therefore r = 1.634x10^-5 m 

Answer 2

Concept:

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them, according to Newton's universal law of gravitation.

Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term.

Given:

The mass of two stones is $2kg$ each.

The gravitational force between them is $1\text{N}$.

Find:

The distance between the two stones.

Solution:

The formula for gravitational force is given by:

$F=\frac{Gm_1m_2}{r^2}$ where $m_1,m_2$ are the masses and $r$ is the distance between them.

We know, $G=6.67\times {10^-11}$

Therefore,

$F=\frac{Gm_1m_2}{r^2}$

$1=\frac{6.67\times 10^{-11}\times 2\times 2}{r^2}$

$r^2=6.67\times 10^{-11}\times 4\\r=\sqrt{6.67\times 10^{-11}\times 4} \\r=1.635\times 10^{-5} m$

The distance between the two stones is $1.635\times 10^{-5} m$.

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