A mass of 0.12 kg is sliding on a frictionless horizontal surface when it comes to a horizontal spring with Hooke's constant k = 90 N/m. The mass is moving at 15 m/s. How far does the spring compress? What is the acceleration of the mass when the spring is fully compressed? How much time elapses between when the mass first encounters the spring, and when the spring reaches full compression? 1) Draw a pictorial representation of the problem. 2) List given information, and choose a coordinate system. What value of "x" will you assign to the equilibrium position of the spring? Is the spring at equilibrium before the mass hits it? 3) What equation or law will you use to solve for maximum compression distance? (There is more than on correct answer, as you may use Chapter 7 or Chapter 16 spring material.) 4) Set up and solve for maximum compression distance. 5) What equation or law will you use to solve for acceleration? (There is more than on correct answer, as you may use Chapter 7 or Chapter 16 spring material.) 6) Set up and solve for acceleration at maximum compression. 7) What equation or law will you use to solve for compression time? (Hint: This part of the problem cannot be solved using Chapter 7 material.) 8) Set up and solve for the time to maximum compression.
A mass of 0.12 kg is sliding on a frictionless horizontal surface when it comes to a horizontal spring with Hooke's constant k = 90 N/m. The mass is moving at 15 m/s. How far does the spring compress? What is the acceleration of the mass when the spring is fully compressed? How much time elapses between when the mass first encounters the spring, and when the spring reaches full compression? 1) Draw a pictorial representation of the problem. 2) List given information, and choose a coordinate system. What value of "x" will you assign to the equilibrium position of the spring? Is the spring at equilibrium before the mass hits it? 3) What equation or law will you use to solve for maximum compression distance? (There is more than on correct answer, as you may use Chapter 7 or Chapter 16 spring material.) 4) Set up and solve for maximum compression distance. 5) What equation or law will you use to solve for acceleration? (There is more than on correct answer, as you may use Chapter 7 or Chapter 16 spring material.) 6) Set up and solve for acceleration at maximum compression. 7) What equation or law will you use to solve for compression time? (Hint: This part of the problem cannot be solved using Chapter 7 material.) 8) Set up and solve for the time to maximum compression.
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter5: Energy
Section: Chapter Questions
Problem 76AP
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Transcribed Image Text:**Problem Statement:**
A mass of 0.12 kg is sliding on a frictionless horizontal surface when it comes to a horizontal spring with Hooke’s constant \( k = 90 \, \text{N/m} \). The mass is moving at 15 m/s.
- How far does the spring compress?
- What is the acceleration of the mass when the spring is fully compressed?
- How much time elapses between when the mass first encounters the spring, and when the spring reaches full compression?
**Instructions:**
1. **Draw a pictorial representation of the problem.**
2. **List given information, and choose a coordinate system.**
- What value of "x" will you assign to the equilibrium position of the spring?
- Is the spring at equilibrium before the mass hits it?
3. **What equation or law will you use to solve for maximum compression distance?**
- (There is more than one correct answer, as you may use Chapter 7 or Chapter 16 spring material.)
4. **Set up and solve for maximum compression distance.**
5. **What equation or law will you use to solve for acceleration?**
- (There is more than one correct answer, as you may use Chapter 7 or Chapter 16 spring material.)
6. **Set up and solve for acceleration at maximum compression.**
7. **What equation or law will you use to solve for compression time?**
- (Hint: This part of the problem cannot be solved using Chapter 7 material.)
8. **Set up and solve for the time to maximum compression.**
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