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.
Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter5: Newton's Laws Of Motion
Section5.7: Some Specific Forces
Problem 5.8CE: Imagine weighing the same bunch of bananas with two different spring scales like the one in Figure...
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Transcribed Image Text: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.
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