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
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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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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F212f1a9d-c23e-4230-9cf0-4b21895c9148%2F24ed2e5f-0b3e-4783-ad72-f12659120ce7%2F6qztwd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**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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