---
title: "Two objects are attracted to each other by a gravitational force \\( F \\). If each mass is tripled, so that each becomes \\( 3 \\) times its original value, and the distance between the objects is cut in half to \\( \\dfrac{1}{2} \\) of its original separation, what is the new gravitational force between the objects in terms of \\( F \\)?"
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url: "https://nerd-notes.com/ubq/101409/"
date_modified: "2025-09-23T03:07:47+00:00"
---

# Two objects are attracted to each other by a gravitational force \( F \). If each mass is tripled, so that each becomes \( 3 \) times its original value, and the distance between the objects is cut in half to \( \dfrac{1}{2} \) of its original separation, what is the new gravitational force between the objects in terms of \( F \)?

Two objects are attracted to each other by a gravitational force \( F \). If each mass is tripled, so that each becomes \( 3 \) times its original value, and the distance between the objects is cut in half to \( \dfrac{1}{2} \) of its original separation, what is the new gravitational force between the objects in terms of \( F \)?

- **A.** \[ 24F \]
- **B.** \[ 36F \]
- **C.** \[ 16F \]
- **D.** \[ \dfrac{1}{16}F \]
- **E.** \[ \dfrac{1}{24}F \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/101409/*