Question

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

Answer 1

Answer:

It will be 6400 N

Explanation:

The gravitational force between two objects is given by

$F=G\frac{m_1 m_2}{r^2}$

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

$F'=G\frac{(2m_1)(2m_2)}{r^2}=4(G\frac{m_1 m_2}{r^2})=4F$

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

F = 1600 N

The new force will be

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