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mass of 2.90×10-2 kg. It is attached to a massless cord passing through a hole in the surface (Figure 1). The block is originally revolving at a distance of 0.300 m from the hole with an angular speed of 2.91 rad/s. The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.150 m. Model the block as a particle.

mass of 2.90×10-2 kg. It is attached to a massless cord passing through a hole in the surface (Figure 1). The block is originally revolving at a distance of 0.300 m from the hole with an angular speed of 2.91 rad/s. The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.150 m. Model the block as a particle.

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 Problems: Kinetic Energy and Work ### Part B **Question:** What is the new angular speed? **Instructions:** Express your answer in radians per second. **Answer Input Field:** - \( \omega_2 = \) [Input Field] rad/s **Submission Details:** - Submit Button - **Incorrect; Try Again; 5 attempts remaining** **Additional Options:** - Previous Answers - Request Answer ### Part C **Question:** Find the change in kinetic energy of the block. **Instructions:** Express your answer with the appropriate units. **Answer Input Field:** - \(\Delta K = \) [Value Field] [Units Field] **Submission Details:** - Submit Button - **Incorrect; Try Again; 5 attempts remaining** **Additional Options:** - Previous Answers - Request Answer ### Part D **Question:** How much work was done in pulling the cord? **Instructions:** Express your answer with the appropriate units. **Answer Input Field:** - \( W = \) [Value Field] [Units Field] **Submission Details:** - Submit Button **Additional Options:** - Previous Answers - Request Answer --- This section is designed for calculating angular speed, change in kinetic energy, and work done in a mechanical system. Each part guides you through the physics concepts and allows several attempts to answer the problems accurately.
Transcribed Image Text:## Physics Problems: Kinetic Energy and Work ### Part B **Question:** What is the new angular speed? **Instructions:** Express your answer in radians per second. **Answer Input Field:** - \( \omega_2 = \) [Input Field] rad/s **Submission Details:** - Submit Button - **Incorrect; Try Again; 5 attempts remaining** **Additional Options:** - Previous Answers - Request Answer ### Part C **Question:** Find the change in kinetic energy of the block. **Instructions:** Express your answer with the appropriate units. **Answer Input Field:** - \(\Delta K = \) [Value Field] [Units Field] **Submission Details:** - Submit Button - **Incorrect; Try Again; 5 attempts remaining** **Additional Options:** - Previous Answers - Request Answer ### Part D **Question:** How much work was done in pulling the cord? **Instructions:** Express your answer with the appropriate units. **Answer Input Field:** - \( W = \) [Value Field] [Units Field] **Submission Details:** - Submit Button **Additional Options:** - Previous Answers - Request Answer --- This section is designed for calculating angular speed, change in kinetic energy, and work done in a mechanical system. Each part guides you through the physics concepts and allows several attempts to answer the problems accurately.
### Description A small block on a frictionless, horizontal surface has a mass of \(2.90 \times 10^{-2} \, \text{kg}\). It is attached to a massless cord passing through a hole in the surface (Figure 1). The block is originally revolving at a distance of \(0.300 \, \text{m}\) from the hole with an angular speed of \(2.91 \, \text{rad/s}\). The cord is then pulled from below, shortening the radius of the circle in which the block revolves to \(0.150 \, \text{m}\). Model the block as a particle. ### Figure Explanation - **Diagram**: The figure depicts a top view of a small block (represented as a red rectangle) on a flat, horizontal surface, connected to the center via a cord. - **Circular Motion**: The block is shown revolving in a circular path (illustrated by a blue circle) around a central hole. The initial radius of the circle is \(0.300 \, \text{m}\), indicated by the distance from the block to the center. - **Angular Speed**: An arrow parallel to the tangent of the circle shows the direction of the block’s motion, signifying the initial angular speed of \(2.91 \, \text{rad/s}\). - **Cord Adjustment**: A vertical dashed line through the circle indicates the central hole, through which the cord is pulled to reduce the radius to \(0.150 \, \text{m}\). This setup demonstrates principles of rotational dynamics where the conservation of angular momentum can be explored.
Transcribed Image Text:### Description A small block on a frictionless, horizontal surface has a mass of \(2.90 \times 10^{-2} \, \text{kg}\). It is attached to a massless cord passing through a hole in the surface (Figure 1). The block is originally revolving at a distance of \(0.300 \, \text{m}\) from the hole with an angular speed of \(2.91 \, \text{rad/s}\). The cord is then pulled from below, shortening the radius of the circle in which the block revolves to \(0.150 \, \text{m}\). Model the block as a particle. ### Figure Explanation - **Diagram**: The figure depicts a top view of a small block (represented as a red rectangle) on a flat, horizontal surface, connected to the center via a cord. - **Circular Motion**: The block is shown revolving in a circular path (illustrated by a blue circle) around a central hole. The initial radius of the circle is \(0.300 \, \text{m}\), indicated by the distance from the block to the center. - **Angular Speed**: An arrow parallel to the tangent of the circle shows the direction of the block’s motion, signifying the initial angular speed of \(2.91 \, \text{rad/s}\). - **Cord Adjustment**: A vertical dashed line through the circle indicates the central hole, through which the cord is pulled to reduce the radius to \(0.150 \, \text{m}\). This setup demonstrates principles of rotational dynamics where the conservation of angular momentum can be explored.
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