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in the simulation, experiment with the gravitational force when the dis…

Question

in the simulation, experiment with the gravitational force when the distance is very large. what happens to the gravitational force when the distance between two objects is extremely large?
a) the gravitational force becomes very strong.
b) the gravitational force remains unchanged.
c) the gravitational force becomes very weak.
d) the gravitational force becomes zero.

Explanation:

Step1: Recall Newton's law of universal gravitation

The formula for gravitational force is \(F = G\frac{m_1m_2}{r^2}\), where \(G\) is the gravitational constant, \(m_1\) and \(m_2\) are the masses of the two objects, and \(r\) is the distance between their centers of mass.

Step2: Analyze the effect of a very large distance

When \(r\) is extremely large, the value of \(\frac{1}{r^2}\) becomes very small. Since \(F\) is directly proportional to \(\frac{1}{r^2}\) (with \(G\), \(m_1\), and \(m_2\) being non - zero constants in this context), the gravitational force \(F\) becomes very weak.

Answer:

C. The gravitational force becomes very weak.