Question

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 1

r = 0.849 m

Step-by-step explanation:

Given that,

The masses of two objects,
`m_1=m_2=2* 10^2\ kg`

The force between the objects,
`F=3.7* 10^(-6)\ N`

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

`F=G(m_1m_2)/(r^2)`

r is the distance between them

`r=\sqrt{(Gm_1m_2)/(F)} \\\\r=\sqrt{(6.67* 10^(-11)* (2* 10^2)^2)/(3.7* 10^(-6))} \\\\r=0.849\ m`

So, the distance between them is 0.849 m.