Question

1. two objects, one with a mass of 10kg and the other with a mass of 1.5×10⁵kg are sitting with their centers 20m apart. what is their gravitational force on each other?

Explanation:

Step1: Recall the formula for gravitational force

The formula for gravitational force is \(F = G\frac{m_1m_2}{r^2}\), where \(G = 6.67\times10^{- 11}\space N\cdot m^{2}/kg^{2}\), \(m_1\) and \(m_2\) are the masses of the two objects, and \(r\) is the distance between their centers.

Step2: Substitute the given values into the formula

Given \(m_1 = 10\space kg\), \(m_2=1.5\times 10^{6}\space kg\), \(r = 20\space m\), and \(G = 6.67\times10^{-11}\space N\cdot m^{2}/kg^{2}\).
Substitute these values into the formula:

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Answer:

\(2.5\times 10^{-6}\space N\) (rounded to two significant figures)