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30 Figure 7.11 7.21. Assume that u, = 0.2 in Fig. 7.11. What is the acceleration? Why did you not need to know the mass of the block?

30 Figure 7.11 7.21. Assume that u, = 0.2 in Fig. 7.11. What is the acceleration? Why did you not need to know the mass of the block?

College Physics
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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**Figure 7.11 Explanation:** The diagram shows a block on an inclined plane with an angle of 30° from the horizontal. The block is positioned to slide down the plane. **Text:** **7.21** Assume that \( \mu_k = 0.2 \) in Fig. 7.11. What is the acceleration? Why did you not need to know the mass of the block? **Answer:** 3.20 m/s\(^2\), down the plane --- **Detailed Explanation:** In this question, you are asked to determine the acceleration of a block sliding down a 30-degree inclined plane. The coefficient of kinetic friction (\( \mu_k \)) is given as 0.2. The task is to find the acceleration without needing to know the mass of the block. The result shows the acceleration is 3.20 m/s\(^2\) directed down the plane. This is derived using the principles of physics, with friction and gravitational components considered along the incline. The mass cancels out during the calculation, hence it is unnecessary for finding the acceleration. Note: To explain the calculations in detail, knowledge of physics equations such as Newton's second law, and the components of gravitational force and friction, would be required.
Transcribed Image Text:**Figure 7.11 Explanation:** The diagram shows a block on an inclined plane with an angle of 30° from the horizontal. The block is positioned to slide down the plane. **Text:** **7.21** Assume that \( \mu_k = 0.2 \) in Fig. 7.11. What is the acceleration? Why did you not need to know the mass of the block? **Answer:** 3.20 m/s\(^2\), down the plane --- **Detailed Explanation:** In this question, you are asked to determine the acceleration of a block sliding down a 30-degree inclined plane. The coefficient of kinetic friction (\( \mu_k \)) is given as 0.2. The task is to find the acceleration without needing to know the mass of the block. The result shows the acceleration is 3.20 m/s\(^2\) directed down the plane. This is derived using the principles of physics, with friction and gravitational components considered along the incline. The mass cancels out during the calculation, hence it is unnecessary for finding the acceleration. Note: To explain the calculations in detail, knowledge of physics equations such as Newton's second law, and the components of gravitational force and friction, would be required.
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