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 mass of other is 38.46 kg.

Given data:

The magnitude of gravitational force is, .

The distance between the two objects is, .

The mass of one object is, m = 55 kg.

Let the mass of another object is, m'. Then the expression for the gravitational force between the two object is given as,

Here, G is the universal gravitational constant.

Solve by substituting the values as,

Thus, we can conclude that the mass of other is 38.46 kg.

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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

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explanation: