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A box of mass 2.0 kg, traveling horizontally, hits an uncompressed spring with an initial velocity, Vo, and compresses the spring to a maximum distance of 0.05 meters (at the maximum distance the box stops).  The value of the spring force constant is k= 50 N/m. There is no friction in the system. Use the work-energy theorem (chapter 6) to find the initial velocity, Vo, of the box.

A box of mass 2.0 kg, traveling horizontally, hits an uncompressed spring with an initial velocity, Vo, and compresses the spring to a maximum distance of 0.05 meters (at the maximum distance the box stops).  The value of the spring force constant is k= 50 N/m. There is no friction in the system. Use the work-energy theorem (chapter 6) to find the initial velocity, Vo, of the box.

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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Use work energy Theorem 

Chapter 6 Work and Kinetic Energy

A box of mass 2.0 kg, traveling horizontally, hits an uncompressed spring with an initial velocity, Vo, and compresses the spring to a maximum distance of 0.05 meters (at the maximum distance the box stops).  The value of the spring force constant is k= 50 N/m. There is no friction in the system. Use the work-energy theorem (chapter 6) to find the initial velocity, Vo, of the box.

### Diagram Description #### Context: This diagram represents a physical scenario often used to illustrate basic physics concepts such as force, motion, and potential energy. #### Components: 1. **Block:** On the left side of the diagram, there is a square block resting on a surface. The block represents a mass that can move along the surface. 2. **Arrow:** Positioned between the block and the spring, the arrow indicates the direction of force or motion. It shows that the block is intended to move towards the right. 3. **Spring:** On the right side of the diagram, a spring is shown attached to a fixed vertical surface or wall. The spring is depicted as a coiled line, illustrating its capability to compress or extend. #### Explanation: - **Physical Concept:** This setup is often referred to in discussions of Hooke's Law or Newton's laws of motion. It can demonstrate how a block, when pushed or pulled, can compress a spring, storing potential energy in the spring. - **Potential Energy:** As the block moves towards the spring, it compresses the spring, converting kinetic energy into potential energy until the spring's force equals the force applied to the block. - **Applications:** Such diagrams are pivotal in learning about mechanical energy conservation, forces, and harmonic motion. This representation aids in visualizing principles such as energy transformation and equilibrium in physics.
Transcribed Image Text:### Diagram Description #### Context: This diagram represents a physical scenario often used to illustrate basic physics concepts such as force, motion, and potential energy. #### Components: 1. **Block:** On the left side of the diagram, there is a square block resting on a surface. The block represents a mass that can move along the surface. 2. **Arrow:** Positioned between the block and the spring, the arrow indicates the direction of force or motion. It shows that the block is intended to move towards the right. 3. **Spring:** On the right side of the diagram, a spring is shown attached to a fixed vertical surface or wall. The spring is depicted as a coiled line, illustrating its capability to compress or extend. #### Explanation: - **Physical Concept:** This setup is often referred to in discussions of Hooke's Law or Newton's laws of motion. It can demonstrate how a block, when pushed or pulled, can compress a spring, storing potential energy in the spring. - **Potential Energy:** As the block moves towards the spring, it compresses the spring, converting kinetic energy into potential energy until the spring's force equals the force applied to the block. - **Applications:** Such diagrams are pivotal in learning about mechanical energy conservation, forces, and harmonic motion. This representation aids in visualizing principles such as energy transformation and equilibrium in physics.
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