The surface the object slides on is frictionless aside from a L-long patch. A second spring with force constant k is located on the other side of this patch. (a) What must the coefficient of kinetic friction of the patch be if the object stops moving exactly in the middle of the patch after entering the patch for the second time? (b) In this same scenario, by how much was the second spring com- pressed?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 44PQ: A student working on a school project modeled a trampoline as a spring obeying Hookes law and...
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4. An object of mass m initially compresses a spring with force constant k a
distance of Ax from equilibrium, as seen below:
k₁
k₂
M
M
Friction
L
Ax
The surface the object slides on is frictionless aside from a L-long patch.
A second spring with force constant k is located on the other side of this
patch.
(a) What must the coefficient of kinetic friction of the patch be if the
object stops moving exactly in the middle of the patch after entering
the patch for the second time?
(b) In this same scenario, by how much was the second spring com-
pressed?
Transcribed Image Text:4. An object of mass m initially compresses a spring with force constant k a distance of Ax from equilibrium, as seen below: k₁ k₂ M M Friction L Ax The surface the object slides on is frictionless aside from a L-long patch. A second spring with force constant k is located on the other side of this patch. (a) What must the coefficient of kinetic friction of the patch be if the object stops moving exactly in the middle of the patch after entering the patch for the second time? (b) In this same scenario, by how much was the second spring com- pressed?
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