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Two blocks, of masses M = 1.6 kg and 2M, are connected to a spring of spring constant k = 240 N/m that has one end fixed, as shown in the figure. The horizontal surface and the pulley are frictionless, and the pulley has negligible mass. The blocks are released from rest with the spring relaxed. (a) What is the combined kinetic energy of the two blocks when the hanging block has fallen 0.087 m? (b) What is the kinetic energy of the hanging block when it has fallen that 0.087 m? (c) What maximum distance does the hanging block fall before momentarily stopping? M 2M

Two blocks, of masses M = 1.6 kg and 2M, are connected to a spring of spring constant k = 240 N/m that has one end fixed, as shown in the figure. The horizontal surface and the pulley are frictionless, and the pulley has negligible mass. The blocks are released from rest with the spring relaxed. (a) What is the combined kinetic energy of the two blocks when the hanging block has fallen 0.087 m? (b) What is the kinetic energy of the hanging block when it has fallen that 0.087 m? (c) What maximum distance does the hanging block fall before momentarily stopping? M 2M

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: Spring-Block System Dynamics** Two blocks, of masses \( M = 1.6 \, \text{kg} \) and \( 2M \), are connected to a spring with a spring constant \( k = 240 \, \text{N/m} \). The spring has one end fixed, as illustrated in the figure. The horizontal surface and the pulley are frictionless, and the pulley has negligible mass. The blocks are released from rest with the spring relaxed. **Questions:** - (a) What is the combined kinetic energy of the two blocks when the hanging block has fallen \( 0.087 \, \text{m} \)? - (b) What is the kinetic energy of the hanging block when it has fallen \( 0.087 \, \text{m} \)? - (c) What maximum distance does the hanging block fall before momentarily stopping? **Diagram Explanation:** The diagram shows a setup with: - A horizontal surface where block \( M \) is located. - Block \( 2M \) is hanging over the edge, attached to block \( M \) via a pulley system. - The spring is connected to block \( M \) on the horizontal surface. - The system outlines the forces and energy exchanges between gravitational potential energy, spring potential energy, and kinetic energy as the blocks move. **Answers:** - (a) Combined kinetic energy: \( 1.2 \, \text{J} \) - (b) Kinetic energy of the hanging block: \( 1.21 \, \text{J} \) - (c) Solution to (c) not provided in the image.
Transcribed Image Text:**Physics Problem: Spring-Block System Dynamics** Two blocks, of masses \( M = 1.6 \, \text{kg} \) and \( 2M \), are connected to a spring with a spring constant \( k = 240 \, \text{N/m} \). The spring has one end fixed, as illustrated in the figure. The horizontal surface and the pulley are frictionless, and the pulley has negligible mass. The blocks are released from rest with the spring relaxed. **Questions:** - (a) What is the combined kinetic energy of the two blocks when the hanging block has fallen \( 0.087 \, \text{m} \)? - (b) What is the kinetic energy of the hanging block when it has fallen \( 0.087 \, \text{m} \)? - (c) What maximum distance does the hanging block fall before momentarily stopping? **Diagram Explanation:** The diagram shows a setup with: - A horizontal surface where block \( M \) is located. - Block \( 2M \) is hanging over the edge, attached to block \( M \) via a pulley system. - The spring is connected to block \( M \) on the horizontal surface. - The system outlines the forces and energy exchanges between gravitational potential energy, spring potential energy, and kinetic energy as the blocks move. **Answers:** - (a) Combined kinetic energy: \( 1.2 \, \text{J} \) - (b) Kinetic energy of the hanging block: \( 1.21 \, \text{J} \) - (c) Solution to (c) not provided in the image.
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