### Physics Problem: Tension in a Suitcase StrapA 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?#### Multiple-Choice Options:- 75 N- 61 N- 85 N- 92 NTo solve this problem, we need to understand the relationship between work, force, and distance in conjunction with the direction of the applied force.The general formula for work is:\[ W = F \cdot d \cdot \cos(\theta) \]Where:- \( W \) is the work done (908 J)- \( F \) is the force (tension in the strap, which we need to find)- \( d \) is the distance (15 m)- \( \theta \) is the angle above the horizontal (36°)Rearranging the formula to solve for \( F \):\[ F = \frac{W}{d \cdot \cos(\theta)} \]Substituting the known values:\[ F = \frac{908 \, \text{J}}{15 \, \text{m} \cdot \cos(36^\circ)} \]Calculating the cosine of 36 degrees:\[ \cos(36^\circ) \approx 0.809 \]Thus:\[ F = \frac{908 \, \text{J}}{15 \, \text{m} \cdot 0.809} \]\[ F \approx \frac{908}{12.135} \]\[ F \approx 74.86 \, \text{N} \]Approximating to the closest given option:\[ F \approx 75 \, \text{N} \]Therefore, the tension in the strap is:\[ \boxed{75 \, \text{N}} \]

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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? 75 N 61 N 85 N 92 N

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? 75 N 61 N 85 N 92 N

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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