A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring which has a spring constant of k, which compresses from position x to position x. M Xi wewe ·xf Juancered I'm Write a general expression for the force that the spring exerts on the mass in terms of k and x. The initial position of the start of the spring will be x; = 0. The equation that describes the work done by the spring to stop the mass is W = -xkx dx, evaluate the relationship in this equation to create an expression for the work done in terms of the known variables. Now solve for the numerical value of the work done in Joules given that x = 0, xf = 52cm and k = 135 N/m

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter9: Energy In Nonisolated Systems
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A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring which has a spring
constant of k, which compresses from position x to position x.
M
wewe
-Xe
Jucaref
I'm
Write a general expression for the force that the spring exerts on the mass in terms of k and x. The initial
position of the start of the spring will be x; = 0.
The equation that describes the work done by the spring to stop the mass is W = -xkx dx, evaluate
the relationship in this equation to create an expression for the work done in terms of the known
variables. Now solve for the numerical value of the work done in Joules given that x = 0, xf = 52cm and
k = 135 N/m
Transcribed Image Text:A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring which has a spring constant of k, which compresses from position x to position x. M wewe -Xe Jucaref I'm Write a general expression for the force that the spring exerts on the mass in terms of k and x. The initial position of the start of the spring will be x; = 0. The equation that describes the work done by the spring to stop the mass is W = -xkx dx, evaluate the relationship in this equation to create an expression for the work done in terms of the known variables. Now solve for the numerical value of the work done in Joules given that x = 0, xf = 52cm and k = 135 N/m
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