---
title: "Two spherical moons, Moon X and Moon Y, are separated by a center-to-center distance \\(D\\). Moon X has mass \\(M_X\\) and Moon Y has mass \\(M_Y\\). The magnitude of the gravitational force that Moon X exerts on Moon Y is \\(F_0\\). If a cosmic event causes the mass of Moon X to double and the distance between the centers of the two moons to also double, what is the new magnitude of the gravitational force that Moon X exerts on Moon Y?"
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url: "https://nerd-notes.com/ubq/109456/"
date_modified: "2026-03-23T01:18:57+00:00"
---

# Two spherical moons, Moon X and Moon Y, are separated by a center-to-center distance \(D\). Moon X has mass \(M_X\) and Moon Y has mass \(M_Y\). The magnitude of the gravitational force that Moon X exerts on Moon Y is \(F_0\). If a cosmic event causes the mass of Moon X to double and the distance between the centers of the two moons to also double, what is the new magnitude of the gravitational force that Moon X exerts on Moon Y?

Two spherical moons, Moon X and Moon Y, are separated by a center-to-center distance \(D\). Moon X has mass \(M_X\) and Moon Y has mass \(M_Y\). The magnitude of the gravitational force that Moon X exerts on Moon Y is \(F_0\). If a cosmic event causes the mass of Moon X to double and the distance between the centers of the two moons to also double, what is the new magnitude of the gravitational force that Moon X exerts on Moon Y?

- **A.** \(\dfrac{1}{8} F_0\)
- **B.** \(\dfrac{1}{4} F_0\)
- **C.** \(\dfrac{1}{2} F_0\)
- **D.** \(F_0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/109456/*