The gravitational force between two 0.800 kg balls is 8.92 x 10-11 N. How far apart are they?

r = 0.692m

Explanation:

According to law of gravitation, the force of attraction F existing between two masses m1 and m2 is directly proportional to the product of the masses and inversely proportional to the square of the distance (r) between them.

Mathematically, F = Gm1m2/r² where G is the gravitational constant.

Given F = 8.92 x 10^-11 N

m1 = m2 = 0.8kg

G = 6.67*10^-11 m³/kgs²

r = ?

Substituting this values in the given formula, we have;

8.92*10^-11 = 6.67*10^-11 (0.8) (0.8) / r²

Cross multiplying;

8.92*10^-11r² = 4.27*10^-11

r² = 4.27*10^-11/8.92*10^-11

r² = 0.479*10^0

r² = 0.479

r = √0.479

r = 0.692m

This shows that the masses are 0.692m apart.