A truck is towing a 10,000-N car at a constant speed up a hill that makes an angle of a=5.0° above the horizontal. A rope is attached from the truck to the car at an angle ß=10.0° above the horizontal. (Friction is negligible.) (a) Draw a free-body diagram showing the forces acting on the car. Indicate the angle that each force makes either with either the vertical or horizontal direction. (b) What is the tension in the rope?

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A truck is towing a 10,000-N car at a constant speed up a hill that makes an angle of a=5.0° above the horizontal. A rope is attached from the truck to the car at an angle ß=10.0° above the horizontal. (Friction is negligible.)

(a) Draw a free-body diagram showing the forces acting on the car. Indicate the angle that each force makes either with either the vertical or horizontal direction.

(b) What is the tension in the rope?

 

This image depicts a geometric diagram involving angles and a line with an arrow indicating direction. Here’s the detailed description of the diagram:

- There is a horizontal dashed line at the bottom.
- An angled solid line intersects this horizontal line, creating an acute angle labeled as "5°".
- Above this solid line, there is an arrow emerging from the point of intersection, indicating direction upward.
- The angle between the dashed horizontal line and the arrow is labeled as "100°".
- Dots and a small semicircle indicate the angles and points of intersection.

The diagram likely represents a geometric concept involving complementary angles, where the sum of angles on a straight line is 180°.
Transcribed Image Text:This image depicts a geometric diagram involving angles and a line with an arrow indicating direction. Here’s the detailed description of the diagram: - There is a horizontal dashed line at the bottom. - An angled solid line intersects this horizontal line, creating an acute angle labeled as "5°". - Above this solid line, there is an arrow emerging from the point of intersection, indicating direction upward. - The angle between the dashed horizontal line and the arrow is labeled as "100°". - Dots and a small semicircle indicate the angles and points of intersection. The diagram likely represents a geometric concept involving complementary angles, where the sum of angles on a straight line is 180°.
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