Question

two point masses each equal to 1kg attract one another with a force of 10raised to -10newton.find distance between the objects

Answer 1

The distance between the objects $=0.81\ m$

Explanation:

From Newtons law of gravitation we know that:

All masses are attracted to each other and the force is proportional to the masses and inversely proportional to the square of the distance.

$F=\frac{GMm}{d^2}$ where M and m are mass of the objects.

So, $d=\sqrt\frac{GMm}{F}$

Putting the values of

$G=6.67\times 10^{-11} N\ m^2\ kg^{-2}$, $F=10^{-10}\ N$

$M=m=1\ kg$

So,

d=$\sqrt{\frac{6.67\times 10^{-11}\times 1\times 1}{10^{-10}}$ $=0.81\ m$

The distance between the two point masses $=0.81\ meter$