1. If two objects each with the mass of 2.0 x 10^2 kg, produce gravitational force between
them of 3.7 x 10^-6N , What is the distance between them ?


Answer :

Answer:

r = 0.849 m

Explanation:

Given that,

The masses of two objects, [tex]m_1=m_2=2\times 10^2\ kg[/tex]

The force between the objects, [tex]F=3.7\times 10^{-6}\ N[/tex]

We need to find the distance between the masses. The force between two objects is given by the relation as follows :

[tex]F=G\dfrac{m_1m_2}{r^2}[/tex]

r is the distance between them

[tex]r=\sqrt{\dfrac{Gm_1m_2}{F}} \\\\r=\sqrt{\dfrac{6.67\times 10^{-11}\times (2\times 10^2)^2}{3.7\times 10^{-6}}} \\\\r=0.849\ m[/tex]

So, the distance between them is 0.849 m.