Consider the figure below. 45.0° 45.0 60.0 N 60.0 N edi ume (a) What is the resultant force exerted by the two cables supporting the traffic light in the fidure? magnitude direction -Select- (b) What is the welght of the light?

Consider the figure below. 45.0° 45.0 60.0 N 60.0 N edi ume (a) What is the resultant force exerted by the two cables supporting the traffic light in the fidure? magnitude direction -Select- (b) What is the welght of the light?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Educational Content: Analyzing Forces on a Traffic Light**

**Consider the figure below:**

A traffic light is supported by two cables, each exerting a force of 60.0 N. The cables are angled at 45.0° from the vertical.

- The image shows a horizontal bar from which two cables are attached, supporting a traffic light below. The angles between each cable and the vertical line are 45.0°.

**Questions:**

(a) *What is the resultant force exerted by the two cables supporting the traffic light in the figure?*

- **Magnitude:** _____ N
- **Direction:** [Select…]

(b) *What is the weight of the light?*

- _____ N

**Analysis:**

To solve these problems, use vector components and trigonometry:

1. **Calculate the vertical components** of the forces from the two cables.
2. **Determine the resultant force and its direction** using the components.
3. **Find the weight of the traffic light**, which should be balanced by the vertical components of the forces from the cables.

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