---
title: "Two identical uniform spheres are separated by a distance \\(r\\) measured from the center of one sphere to the center of the other. The magnitude of the gravitational force exerted by one sphere on the other is \\(F\\). If the spheres are moved so that the center-to-center distance is increased to \\(3r\\), what is the new magnitude of the gravitational force between the spheres?"
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url: "https://nerd-notes.com/ubq/109924/"
date_modified: "2026-03-31T08:53:56+00:00"
---

# Two identical uniform spheres are separated by a distance \(r\) measured from the center of one sphere to the center of the other. The magnitude of the gravitational force exerted by one sphere on the other is \(F\). If the spheres are moved so that the center-to-center distance is increased to \(3r\), what is the new magnitude of the gravitational force between the spheres?

Two identical uniform spheres are separated by a distance \(r\) measured from the center of one sphere to the center of the other. The magnitude of the gravitational force exerted by one sphere on the other is \(F\). If the spheres are moved so that the center-to-center distance is increased to \(3r\), what is the new magnitude of the gravitational force between the spheres?

![Two identical shaded spheres are positioned horizontally. A dashed line segment connects the geometric center of the left sphere to the geometric center of the right sphere. A label r is centered below this dashed line segment, indicating the distance between the two centers.](https://nerd-notes.com/wp-content/uploads/ubq-diagrams/ubq-frq-generatedstem-fig-1-1774947236-ilhVMW.jpg)

- **A.** \(F/9\)
- **B.** \(F/3\)
- **C.** \(3F\)
- **D.** \(9F\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/109924/*