A traveler pulls on a suitcase strap at an angle 36° above the horizontal. If 908 J of work are done by the strap while moving the suitcase a horizontal distance of 15 m, what is the tension in the strap? O 61 N O 92 N O 85 N O 75 N
A traveler pulls on a suitcase strap at an angle 36° above the horizontal. If 908 J of work are done by the strap while moving the suitcase a horizontal distance of 15 m, what is the tension in the strap? O 61 N O 92 N O 85 N O 75 N
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Doing some physics homework and am kind of stumped here!
![**Physics Problem: Calculating Tension**
A traveler pulls on a suitcase strap at an angle of 36° above the horizontal. If 908 J of work are done by the strap while moving the suitcase a horizontal distance of 15 m, what is the tension in the strap?
### Options:
- ○ 61 N
- ○ 92 N
- ○ 85 N
- ○ 75 N
To solve this, consider the work done equation:
\[
\text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta)
\]
Where:
- Work = 908 J
- Distance = 15 m
- θ = 36°
- Force is the tension in the strap
### Explanation:
1. Use the relationship and solve for Force (Tension):
\[
908 = T \times 15 \times \cos(36^\circ)
\]
2. Calculate \(\cos(36^\circ)\), then solve for \(T\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03d19364-d2f4-4703-a72b-e46c5aa833e9%2F4ba91739-4308-4492-a920-82a107a2ecb8%2Fz8hv1nc_processed.png&w=3840&q=75)
Transcribed Image Text:**Physics Problem: Calculating Tension**
A traveler pulls on a suitcase strap at an angle of 36° above the horizontal. If 908 J of work are done by the strap while moving the suitcase a horizontal distance of 15 m, what is the tension in the strap?
### Options:
- ○ 61 N
- ○ 92 N
- ○ 85 N
- ○ 75 N
To solve this, consider the work done equation:
\[
\text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta)
\]
Where:
- Work = 908 J
- Distance = 15 m
- θ = 36°
- Force is the tension in the strap
### Explanation:
1. Use the relationship and solve for Force (Tension):
\[
908 = T \times 15 \times \cos(36^\circ)
\]
2. Calculate \(\cos(36^\circ)\), then solve for \(T\).
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