Physics Help Please!?

Question

Two balls, each with a mass of 0.877 kg, exert a gravitational force of 8.59 × 10−11 N on each other. How far apart are the balls? The value of the universal gravitational constant is 6.673 × 10−11 N m2/kg2

Answer 1

The Gravitational Force F = 8.59 * 10^-11 N

Mass of the both the bodies = 0.877 kg.

Universal Gravitational Constant = 6.673 × 10^−11 N m²/kg².

We know that Gravitational Force = (Gm₁ m₂)/d²

Where d is the distance between the two masses.

d² = (Gm₁ m₂)/ F

d² = (6.673 × 10^−11 * 0.877 * 0.877 ) / (8.59 * 10^-11)

d² = 0.5974

d = 0.7729 m.

d = 77.29 cm.

Therefore the distance between the mass is 77.29 cm.