QUESTION IMAGE
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.
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.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
C. The gravitational force becomes very weak.