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(c) What is the average force of friction (down the slope) if the hill has a slope 2.5° above the horizontal? 354.12

(c) What is the average force of friction (down the slope) if the hill has a slope 2.5° above the horizontal? 354.12

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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### Physics Problem on Motion and Energy #### Problem Statement: In this problem set, we examine the concepts of motion and energy for a car coasting up a hill. --- 1. **Height Calculation with Negligible Friction** (a) **Problem:** - **Question:** How high (in m) can a car coast up (engine disengaged) if friction is negligible and its initial speed is 90.0 km/h? - **Answer:** The height the car can coast up is 31.88 m. - **Explanation:** This implies calculating the potential energy the car attains when it comes to rest. The initial kinetic energy is transformed into gravitational potential energy. --- 2. **Thermal Energy Generated by Friction** (b) **Problem:** - **Question:** If, in actuality, a 750 kg car with an initial speed of 90.0 km/h is observed to coast up a hill to a height 17.0 m above its starting point, how much thermal energy (in J) was generated by friction? - **Answer:** The thermal energy generated by friction is 109425 J. - **Explanation:** The thermal energy is the difference between the initial kinetic energy and the gravitational potential energy at the observed height. --- 3. **Average Force of Friction** (c) **Problem:** - **Question:** What is the average force of friction (down the slope) if the hill has a slope 2.5° above the horizontal? - **Incorrect Answer:** 354.12 N - **Explanation:** The calculation involves using the angle of the slope to determine the components of the forces acting along and perpendicular to the incline. Despite an answer being provided, it is marked incorrect which suggests the need to re-evaluate the steps taken in the solution. --- ##### Notes: - The given solutions reflect the car's energy transformation from kinetic to potential energy and account for energy losses due to friction. - Verification of each step in the calculations, particularly for part (c), is essential to ensure accuracy. Use this set of problems to deepen understanding of energy conservation, kinetic and potential energy, as well as the effects of friction in real scenarios.
Transcribed Image Text:### Physics Problem on Motion and Energy #### Problem Statement: In this problem set, we examine the concepts of motion and energy for a car coasting up a hill. --- 1. **Height Calculation with Negligible Friction** (a) **Problem:** - **Question:** How high (in m) can a car coast up (engine disengaged) if friction is negligible and its initial speed is 90.0 km/h? - **Answer:** The height the car can coast up is 31.88 m. - **Explanation:** This implies calculating the potential energy the car attains when it comes to rest. The initial kinetic energy is transformed into gravitational potential energy. --- 2. **Thermal Energy Generated by Friction** (b) **Problem:** - **Question:** If, in actuality, a 750 kg car with an initial speed of 90.0 km/h is observed to coast up a hill to a height 17.0 m above its starting point, how much thermal energy (in J) was generated by friction? - **Answer:** The thermal energy generated by friction is 109425 J. - **Explanation:** The thermal energy is the difference between the initial kinetic energy and the gravitational potential energy at the observed height. --- 3. **Average Force of Friction** (c) **Problem:** - **Question:** What is the average force of friction (down the slope) if the hill has a slope 2.5° above the horizontal? - **Incorrect Answer:** 354.12 N - **Explanation:** The calculation involves using the angle of the slope to determine the components of the forces acting along and perpendicular to the incline. Despite an answer being provided, it is marked incorrect which suggests the need to re-evaluate the steps taken in the solution. --- ##### Notes: - The given solutions reflect the car's energy transformation from kinetic to potential energy and account for energy losses due to friction. - Verification of each step in the calculations, particularly for part (c), is essential to ensure accuracy. Use this set of problems to deepen understanding of energy conservation, kinetic and potential energy, as well as the effects of friction in real scenarios.
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