---
title: "A \\( 20 \\) \\( \\text{N} \\) force due north and a \\( 20 \\) \\( \\text{N} \\) force due east act concurrently on an object, as shown in the diagram to the right. What additional force is needed to bring the object into a state of equilibrium?"
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url: "https://nerd-notes.com/ubq/114214/"
date_modified: "2026-08-18T02:37:46+00:00"
---

# A \( 20 \) \( \text{N} \) force due north and a \( 20 \) \( \text{N} \) force due east act concurrently on an object, as shown in the diagram to the right. What additional force is needed to bring the object into a state of equilibrium?

A \( 20 \) \( \text{N} \) force due north and a \( 20 \) \( \text{N} \) force due east act concurrently on an object, as shown in the diagram to the right. What additional force is needed to bring the object into a state of equilibrium?

![A small square block is drawn near the lower center of the diagram. From the top center of the block, an upward vertical arrow extends roughly two block-heights in length. At the tip of this arrow, the label "20 N" is written slightly above the arrowhead. From the middle of the right face of the block, a horizontal arrow extends to the right the same length as the vertical arrow. At the tip of this right-pointing arrow, the label "East 20 N" is written, with the word "East" positioned just to the right of the arrowhead and the "20 N" directly beneath the word "East." Both arrows are straight, of equal length, with single arrowheads. There are no other forces or markings on or around the block. The overall appearance is that of a free-body diagram showing two perpendicular forces of equal magnitude on the object.](https://nerd-notes.com/wp-content/uploads/ubq-diagrams/nerd-notes-free-body-diagram-114214-1782729129-jK7Lo8.jpg)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/114214/*