Answer:
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
The mass of other is 38.46 kg.
Given data:
The magnitude of gravitational force is, [tex]F = 3.2 \times 10^{-6} \;\rm N[/tex].
The distance between the two objects is, [tex]r = 2.1 \times 10^{-1} \;\rm m[/tex].
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,
[tex]F = \dfrac{G \times m \times m'}{r^{2}}[/tex]
Here, G is the universal gravitational constant.
Solve by substituting the values as,
[tex]3.2 \times 10^{-6} = \dfrac{6.67 \times 10^{-11} \times 55 \times m'}{(2.1 \times 10^{-1})^{2}}\\\\m' = 38.46 \;\rm kg[/tex]
Thus, we can conclude that the mass of other is 38.46 kg.
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