How far apart would two 100 kg persons need to be so that the force they exert on each other is equal to 1N? You can assume they are point masses, having mass but no size. A) 1m B) 6.672x10^-7 m C) 8.17x10^-4 m D) 100 m

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Quizplus · Accepted Answer

The gravitational force between two masses can be calculated using Newton's law of gravitation: $F = G \frac{m_1 m_2}{r^2}$, where $F$ is the gravitational force, $G$ is the gravitational constant ($6.674 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2$), $m_1$ and $m_2$ are the masses, and $r$ is the distance between the centers of the two masses. Rearranging for $r$, we get $r = \sqrt{G \frac{m_1 m_2}{F}}$. Plugging in the values ($m_1 = m_2 = 100 \, \text{kg}$, $F = 1 \, \text{N}$, and $G = 6.674 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2$), we find $r \approx 8.17 \times 10^{-4} \, \text{m}$.

How Far Apart Would Two 100 Kg Persons Need to Be