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**Title**: Analysis of Potential Energy and Particle Motion **Description**: A 6.49 kg particle is moving under the influence of conservative forces, with its motion characterized by the following potential energy diagram. **Graph Explanation**: - **X-axis**: Represents the position of the particle along a straight line, measured in meters (m), ranging from 0 to 200. - **Y-axis**: Indicates the potential energy of the particle in joules (J), ranging from 0 to 1000. - **Data Points and Path**: - At position 0 m, potential energy is at a high point of approximately 950 J (Point A). - Energy falls sharply to about 50 J at position 10 m (Point B). - Energy rises and falls through various points: - 30 m (Point C): 700 J - 50 m (Point D): 200 J - 70 m (Point E): 600 J - 90 m (Point F): 300 J - 110 m (Point G): 850 J - 130 m (Point H): 400 J - 150 m (Point I): 500 J - 170 m (Point J): 50 J - Ends at 200 m (Point K): 400 J **Questions and Context**: 1. **Question**: Between points A and E, at what location is the particle moving the fastest? - Options: - A - D - E - The particle is moving at the same speed at all of the points listed here. - B 2. **Further Analysis**: At point F, the particle has a speed of 13.3 m/s. What is the maximum speed \( v_{\text{max}} \) achieved by the particle between points A and E? - Action: Calculate \( v_{\text{max}} \). **Given Information**: - Assume the points on the graph can be determined to three significant digits, and the calculated value for maximum speed should contain three significant digits. **Equation**: - **Kinetic Energy** \( KE \) is derived from potential energy changes, using \( KE = \frac{1}{2} m v^2 \). - When the particle moves from a higher to a lower potential energy point

**Title**: Analysis of Potential Energy and Particle Motion **Description**: A 6.49 kg particle is moving under the influence of conservative forces, with its motion characterized by the following potential energy diagram. **Graph Explanation**: - **X-axis**: Represents the position of the particle along a straight line, measured in meters (m), ranging from 0 to 200. - **Y-axis**: Indicates the potential energy of the particle in joules (J), ranging from 0 to 1000. - **Data Points and Path**: - At position 0 m, potential energy is at a high point of approximately 950 J (Point A). - Energy falls sharply to about 50 J at position 10 m (Point B). - Energy rises and falls through various points: - 30 m (Point C): 700 J - 50 m (Point D): 200 J - 70 m (Point E): 600 J - 90 m (Point F): 300 J - 110 m (Point G): 850 J - 130 m (Point H): 400 J - 150 m (Point I): 500 J - 170 m (Point J): 50 J - Ends at 200 m (Point K): 400 J **Questions and Context**: 1. **Question**: Between points A and E, at what location is the particle moving the fastest? - Options: - A - D - E - The particle is moving at the same speed at all of the points listed here. - B 2. **Further Analysis**: At point F, the particle has a speed of 13.3 m/s. What is the maximum speed \( v_{\text{max}} \) achieved by the particle between points A and E? - Action: Calculate \( v_{\text{max}} \). **Given Information**: - Assume the points on the graph can be determined to three significant digits, and the calculated value for maximum speed should contain three significant digits. **Equation**: - **Kinetic Energy** \( KE \) is derived from potential energy changes, using \( KE = \frac{1}{2} m v^2 \). - When the particle moves from a higher to a lower potential energy point

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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**Title**: Analysis of Potential Energy and Particle Motion **Description**: A 6.49 kg particle is moving under the influence of conservative forces, with its motion characterized by the following potential energy diagram. **Graph Explanation**: - **X-axis**: Represents the position of the particle along a straight line, measured in meters (m), ranging from 0 to 200. - **Y-axis**: Indicates the potential energy of the particle in joules (J), ranging from 0 to 1000. - **Data Points and Path**: - At position 0 m, potential energy is at a high point of approximately 950 J (Point A). - Energy falls sharply to about 50 J at position 10 m (Point B). - Energy rises and falls through various points: - 30 m (Point C): 700 J - 50 m (Point D): 200 J - 70 m (Point E): 600 J - 90 m (Point F): 300 J - 110 m (Point G): 850 J - 130 m (Point H): 400 J - 150 m (Point I): 500 J - 170 m (Point J): 50 J - Ends at 200 m (Point K): 400 J **Questions and Context**: 1. **Question**: Between points A and E, at what location is the particle moving the fastest? - Options: - A - D - E - The particle is moving at the same speed at all of the points listed here. - B 2. **Further Analysis**: At point F, the particle has a speed of 13.3 m/s. What is the maximum speed \( v_{\text{max}} \) achieved by the particle between points A and E? - Action: Calculate \( v_{\text{max}} \). **Given Information**: - Assume the points on the graph can be determined to three significant digits, and the calculated value for maximum speed should contain three significant digits. **Equation**: - **Kinetic Energy** \( KE \) is derived from potential energy changes, using \( KE = \frac{1}{2} m v^2 \). - When the particle moves from a higher to a lower potential energy point
Transcribed Image Text:**Title**: Analysis of Potential Energy and Particle Motion **Description**: A 6.49 kg particle is moving under the influence of conservative forces, with its motion characterized by the following potential energy diagram. **Graph Explanation**: - **X-axis**: Represents the position of the particle along a straight line, measured in meters (m), ranging from 0 to 200. - **Y-axis**: Indicates the potential energy of the particle in joules (J), ranging from 0 to 1000. - **Data Points and Path**: - At position 0 m, potential energy is at a high point of approximately 950 J (Point A). - Energy falls sharply to about 50 J at position 10 m (Point B). - Energy rises and falls through various points: - 30 m (Point C): 700 J - 50 m (Point D): 200 J - 70 m (Point E): 600 J - 90 m (Point F): 300 J - 110 m (Point G): 850 J - 130 m (Point H): 400 J - 150 m (Point I): 500 J - 170 m (Point J): 50 J - Ends at 200 m (Point K): 400 J **Questions and Context**: 1. **Question**: Between points A and E, at what location is the particle moving the fastest? - Options: - A - D - E - The particle is moving at the same speed at all of the points listed here. - B 2. **Further Analysis**: At point F, the particle has a speed of 13.3 m/s. What is the maximum speed \( v_{\text{max}} \) achieved by the particle between points A and E? - Action: Calculate \( v_{\text{max}} \). **Given Information**: - Assume the points on the graph can be determined to three significant digits, and the calculated value for maximum speed should contain three significant digits. **Equation**: - **Kinetic Energy** \( KE \) is derived from potential energy changes, using \( KE = \frac{1}{2} m v^2 \). - When the particle moves from a higher to a lower potential energy point
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