Question

The gravitational force between two objects is 1600 N what will be the gravitational force if they double

Answer 1

It will be 6400 N

Step-by-step explanation:

The gravitational force between two objects is given by

`F=G(m_1 m_2)/(r^2)`

where

G is the gravitational constant

m1, m2 are the masses of the two objects

r is the distance between the two objects

In this problem, the masses of the two objects double, so

`m_1 =2 m_1\\m_2 = 2 m_2`

Substituting into the formula, we find

`F'=G((2m_1)(2m_2))/(r^2)=4(G(m_1 m_2)/(r^2))=4F`

so, the force will quadruple, and since the original force was

F = 1600 N

The new force will be

`F'=4\cdot 1600 N = 6400 N`