QUESTION 25 A worker moves a 20-kg crate on a level surface by pulling on the free end of a light, uniform cable whose other end is attached to the crate. The resultant tension in the cable is 200 N at an angle of 300 above the horizontal. (See the diagram below.) If the coefficient of friction between the crate and the surface is uk = 0.40, what is the resultant acceleration of the system? Fext a. 3.9 m/s2 b. 3.2 m/s2 C. 6.7 m/s2 С. d. 1.8 m/s? e. 4.6 m/s2

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Chapter1: Units, Trigonometry. And Vectors
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**Question 25**

A worker moves a 20-kg crate on a level surface by pulling on the free end of a light, uniform cable whose other end is attached to the crate. The resultant tension in the cable is 200 N at an angle of 30 degrees above the horizontal. If the coefficient of friction between the crate and the surface is μₖ = 0.40, what is the resultant acceleration of the system?

*Diagram Explanation:*

The diagram consists of a horizontal line representing the level surface. On this line, there is a red rectangle depicting the crate. Above the rectangle, an angled arrow labeled \( F_{ext} \) represents the external force exerted by the cable. The angle \( \theta \) (30 degrees) is shown between the horizontal dashed line and the cable.

*Answer Choices:*

- a. 3.9 m/s²
- b. 3.2 m/s²
- c. 6.7 m/s²
- d. 1.8 m/s²
- e. 4.6 m/s²
Transcribed Image Text:**Question 25** A worker moves a 20-kg crate on a level surface by pulling on the free end of a light, uniform cable whose other end is attached to the crate. The resultant tension in the cable is 200 N at an angle of 30 degrees above the horizontal. If the coefficient of friction between the crate and the surface is μₖ = 0.40, what is the resultant acceleration of the system? *Diagram Explanation:* The diagram consists of a horizontal line representing the level surface. On this line, there is a red rectangle depicting the crate. Above the rectangle, an angled arrow labeled \( F_{ext} \) represents the external force exerted by the cable. The angle \( \theta \) (30 degrees) is shown between the horizontal dashed line and the cable. *Answer Choices:* - a. 3.9 m/s² - b. 3.2 m/s² - c. 6.7 m/s² - d. 1.8 m/s² - e. 4.6 m/s²
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