A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position xi to position xf. 1) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be xi=0. 2) Solve for the numerical value of the work done in Joules given that xi = 0, xf = 42 cm, and k = 105 N/m. 3) Evaluate W = - ∫xixf k x dx. Write an expression for the work done in
A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position xi to position xf. 1) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be xi=0. 2) Solve for the numerical value of the work done in Joules given that xi = 0, xf = 42 cm, and k = 105 N/m. 3) Evaluate W = - ∫xixf k x dx. Write an expression for the work done in
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter9: Energy In Nonisolated Systems
Section: Chapter Questions
Problem 28PQ
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A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position xi to position xf.
1) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be xi=0.
2) Solve for the numerical value of the work done in Joules given that xi = 0, xf = 42 cm, and k = 105 N/m.
3) Evaluate W = - ∫xixf k x dx. Write an expression for the work done in terms of known variables.
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