Two balls, each with a mass of 0.879 kg, exert a gravitational force of 8.04 × 10^−11 N on each other. How far apart are the balls? The value of...

According to the Universal Law of Gravitation, any two bodies exert a gravitational force on each other and this force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Mathematically,

 

where, F is the gravitational force, G is the universal gravitational constant, m1 and m2 are the masses of the objects and r is the distance between them.

In the given case, m1 = m2 = 0.879 kg; F =  N and 

G = 

Substituting the value of these variables into the equation, we get,

Solving this equation, we get, r = 0.8 m

that is, the two balls are 0.8 m away from each other.

Hope this helps.