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Doing some physics homework and am kind of stumped here!

Doing some physics homework and am kind of stumped here!

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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Doing some physics homework and am kind of stumped here!

### Physics Experiment: Spring and Box Dynamics **Scenario:** A box of mass \(m\) is pressed against (but not attached to) an ideal spring with a force constant \(k\) and negligible mass, compressing the spring by a distance \(x\). Once released, the box slides up a frictionless incline, as shown in the diagram, and eventually comes to a stop. **Diagram Explanation:** - The diagram shows a horizontal smooth surface followed by a smooth incline. - A spring with constant \(k\) is depicted initially compressed by a box of mass \(m\). - The incline is represented with a consistent upward slope, indicating a frictionless track. **Analysis:** If the experiment is repeated with a box of mass \(2m\), consider the following statements: 1. Both boxes will reach the same maximum height on the incline. 2. The lighter box will go twice as high up the incline as the heavier box. 3. Both boxes will have the same speed just as they move free of the spring. 4. Just as it moves free of the spring, the lighter box will be moving twice as fast as the heavier box. 5. Just as it moves free of the spring, the heavier box will have twice as much kinetic energy as the lighter box. **Objective:** Determine the correct statement based on the principles of energy conservation and dynamics when altering the mass of the box.
Transcribed Image Text:### Physics Experiment: Spring and Box Dynamics **Scenario:** A box of mass \(m\) is pressed against (but not attached to) an ideal spring with a force constant \(k\) and negligible mass, compressing the spring by a distance \(x\). Once released, the box slides up a frictionless incline, as shown in the diagram, and eventually comes to a stop. **Diagram Explanation:** - The diagram shows a horizontal smooth surface followed by a smooth incline. - A spring with constant \(k\) is depicted initially compressed by a box of mass \(m\). - The incline is represented with a consistent upward slope, indicating a frictionless track. **Analysis:** If the experiment is repeated with a box of mass \(2m\), consider the following statements: 1. Both boxes will reach the same maximum height on the incline. 2. The lighter box will go twice as high up the incline as the heavier box. 3. Both boxes will have the same speed just as they move free of the spring. 4. Just as it moves free of the spring, the lighter box will be moving twice as fast as the heavier box. 5. Just as it moves free of the spring, the heavier box will have twice as much kinetic energy as the lighter box. **Objective:** Determine the correct statement based on the principles of energy conservation and dynamics when altering the mass of the box.
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