# Two objects are attracted to each other with 36 N

Two objects are attracted to each other with 36 N of gravitational force. What would the force between them be if the distance between them were doubled?
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Cara Cannon
Step 1
The gravitational force between two objects = 36 N
Let the mass of two objects be = m and M respectively
Let the distance between two objects = d
Step 2
Using Newton's law of gravitation :
Gravitational force = $G×m×M/{d}^{2}$
$36=G×m×M/{d}^{2}$
The gravitational force follows inverse square law that is it varies inversely with the square of distance between two objects.
Thus, if we double the distance between the two objects, the gravitational force would decrease by a factor of 4.
Hence, new gravitational force between the two objects after doubling the distance between them = 36/4
= 9 Newton