The gravitational force between two objects that

are 2.1x10-1 m apart is 3.2x10-6 N. If the mass of one

object is 55 kg what is the mass of the other object?

The answer to your question is m₂ = 38.5 kg

Explanation:

Data

distance = d = 2.1 x 10⁻¹ m

Force = 3.2 x 10⁻⁶ N

m₁ = 55 kg

m₂ = ?

G = 6.67 x 10 ⁻¹¹ Nm²/kg²

Process

1. - To solve this problem use Newton's law of Universal Gravitation.

F = G m₁m₂ / r²

-Solve for m₂

m₂ = Fr² / Gm₁

2. - Substitution

m₂ = (3.2 x 10⁻⁶) (2.1 x 10⁻¹) ² / (6.67 x 10⁻¹¹) (55)

3. - Simplification

m₂ = 1.411 x 10⁻⁷ / 3.669 x 10⁻⁹

4. - Result

m₂ = 38.5 kg