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A 2.90 kg hoop 1.10 m in diameter is rolling to the right without slipping on a horizontal floor at a steady 2.20 rad/s. ▾ Part A ▾ How fast is its center moving? Express your answer with the appropriate units. = 1.21 Submit Previous Answers ✓ Correct Part B What is the total kinetic energy of the hoop? Express your answer with the appropriate units. K = 4.25 J Submit Previous Answers ✓ Correct ▾ Part C Find the magnitude of the velocity vector of each of the following points, as viewed by a person at rest on the ground: () the highest point on the hoop: (i) the lowest point on the hoop. (ii) a point on the right side of the hoop. midway between the top and the bottom. Enter your answers in meters per second separated by commas. ,,2.42,0,1.71 m/s Previous Answers Correct

A 2.90 kg hoop 1.10 m in diameter is rolling to the right without slipping on a horizontal floor at a steady 2.20 rad/s. ▾ Part A ▾ How fast is its center moving? Express your answer with the appropriate units. = 1.21 Submit Previous Answers ✓ Correct Part B What is the total kinetic energy of the hoop? Express your answer with the appropriate units. K = 4.25 J Submit Previous Answers ✓ Correct ▾ Part C Find the magnitude of the velocity vector of each of the following points, as viewed by a person at rest on the ground: () the highest point on the hoop: (i) the lowest point on the hoop. (ii) a point on the right side of the hoop. midway between the top and the bottom. Enter your answers in meters per second separated by commas. ,,2.42,0,1.71 m/s Previous Answers Correct

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: Rolling Hoop Dynamics** A hoop with a mass of 2.90 kg and a diameter of 1.10 m is rolling to the right without slipping on a horizontal floor at a steady angular velocity of 2.20 rad/s. **Part A: Center Velocity** - **Question**: How fast is its center moving? - **Answer**: \( v_{\text{cm}} = 1.21 \, \text{m/s} \) - **Status**: Correct **Part B: Kinetic Energy** - **Question**: What is the total kinetic energy of the hoop? - **Answer**: \( K = 42.5 \, \text{J} \) - **Status**: Correct **Part C: Velocity Vector Magnitude** - **Question**: Find the magnitude of the velocity vector of each of the following points, as viewed by a person at rest on the ground: (i) the highest point on the hoop; (ii) the lowest point on the hoop; (iii) a point on the right side of the hoop, midway between the top and the bottom. - **Answers**: - (i) \( v_{\text{1}} = 2.42 \, \text{m/s} \) - (ii) \( v_{\text{2}} = 0 \, \text{m/s} \) - (iii) \( v_{\text{3}} = 1.71 \, \text{m/s} \) - **Status**: Correct This problem explores the concepts of rotational motion, kinetic energy, and relative velocity in a system where a hoop rolls without slipping.
Transcribed Image Text:**Physics Problem: Rolling Hoop Dynamics** A hoop with a mass of 2.90 kg and a diameter of 1.10 m is rolling to the right without slipping on a horizontal floor at a steady angular velocity of 2.20 rad/s. **Part A: Center Velocity** - **Question**: How fast is its center moving? - **Answer**: \( v_{\text{cm}} = 1.21 \, \text{m/s} \) - **Status**: Correct **Part B: Kinetic Energy** - **Question**: What is the total kinetic energy of the hoop? - **Answer**: \( K = 42.5 \, \text{J} \) - **Status**: Correct **Part C: Velocity Vector Magnitude** - **Question**: Find the magnitude of the velocity vector of each of the following points, as viewed by a person at rest on the ground: (i) the highest point on the hoop; (ii) the lowest point on the hoop; (iii) a point on the right side of the hoop, midway between the top and the bottom. - **Answers**: - (i) \( v_{\text{1}} = 2.42 \, \text{m/s} \) - (ii) \( v_{\text{2}} = 0 \, \text{m/s} \) - (iii) \( v_{\text{3}} = 1.71 \, \text{m/s} \) - **Status**: Correct This problem explores the concepts of rotational motion, kinetic energy, and relative velocity in a system where a hoop rolls without slipping.
## Part E Find the magnitude of the velocity vector for each of the points in part C, except as viewed by someone moving along with the same velocity as the hoop. **Enter your answers in meters per second, separated by commas.** \[ v_i, \, v_{ii}, \, v_{iii} = \] [Input box for answers in m/s] [Submit Button] [Request Answer Link] --- ## Part F Find the direction of the velocity vector for each of the points in part C, except as viewed by someone moving along with the same velocity as the hoop. **Options:** - \( v_i \, \text{is to the right}, \, v_{ii} \, \text{and} \, v_{iii} \, \text{are to the left}. \) - \( v_i \, \text{and} \, v_{iii} \, \text{are to the right}, \, v_{ii} \, \text{is to the left}. \) - \( v_i \, \text{is to the right}, \, v_{ii} \, \text{is to the left}, \, \text{and} \, v_{iii} \, \text{is downward}. \) - \( v_i \, \text{is to the right}, \, v_{ii} \, \text{is to the left}, \, \text{and} \, v_{iii} \, \text{is upward}. \) [Radio button options for selecting the answer]
Transcribed Image Text:## Part E Find the magnitude of the velocity vector for each of the points in part C, except as viewed by someone moving along with the same velocity as the hoop. **Enter your answers in meters per second, separated by commas.** \[ v_i, \, v_{ii}, \, v_{iii} = \] [Input box for answers in m/s] [Submit Button] [Request Answer Link] --- ## Part F Find the direction of the velocity vector for each of the points in part C, except as viewed by someone moving along with the same velocity as the hoop. **Options:** - \( v_i \, \text{is to the right}, \, v_{ii} \, \text{and} \, v_{iii} \, \text{are to the left}. \) - \( v_i \, \text{and} \, v_{iii} \, \text{are to the right}, \, v_{ii} \, \text{is to the left}. \) - \( v_i \, \text{is to the right}, \, v_{ii} \, \text{is to the left}, \, \text{and} \, v_{iii} \, \text{is downward}. \) - \( v_i \, \text{is to the right}, \, v_{ii} \, \text{is to the left}, \, \text{and} \, v_{iii} \, \text{is upward}. \) [Radio button options for selecting the answer]
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