Two balls have their centers 2.0 m apart. One ball has a mass of m1 = 7.9 kg. The other has a mass of m2 = 6.1 kg. What is the gravitational force between them? (Use G = 6.67 10-11 N · m2/kg2.)

3.036*10⁻¹⁰ N

Explanation:

From newton's law of universal gravitation,

F = Gm1m2/r² ... Equation 1

Where F = Gravitational force between the balls, m1 = mass of the first ball, m2 = mass of the second ball, r = distance between their centers.

G = gravitational constant

Given: m1 = 7.9 kg, m2 = 6.1 kg, r = 2.0 m, G = 6.67*10⁻¹¹ Nm²/C²

Substituting into equation 1

F = 6.67*10⁻¹¹*7.9*6.1/2²

F = 321.427*10⁻¹¹/4

F = 30.36*10⁻¹¹

F = 3.036*10⁻¹⁰ N

Hence the force between the balls = 3.036*10⁻¹⁰ N