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Horizontal spring with friction

by Ali 2
Tags: friction, horizontal, spring
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Ali 2
#1
Feb4-13, 01:15 PM
P: 22
1. The problem statement, all variables and given/known data
A spring with negligible mass has a constant of 105 N/m. It has been compressed horizantally with a 2 kg mass for a distance of 0.1m. If the mass has moved after release for a distance of 0.25m, what is the coefficient of kinetic friction between mass and horizontal surface.



2. Relevant equations
F=-kx (spring force)
f= C N, f is friction, C is the kinetic friction coefficient, and N is the force exerted on the mass by the horizontal surface


3. The attempt at a solution
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
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Gee Wiz
#2
Feb4-13, 01:16 PM
P: 135
i would recommend using work to solve this problem.
Work=force*distance
also work done by a spring is .5*k*x^2
ap123
#3
Feb4-13, 02:57 PM
P: 265
Conservation of energy would be the easiest way to solve this.
What happens to the potential energy initially stored in the spring?

Ali 2
#4
Feb4-13, 03:24 PM
P: 22
Horizontal spring with friction

hello
ok the work done by the spring is 0.5*k*x02 - 0.5*k*x12
we know that x0=-0.1m
but what is x1, since the 0.25m given in the question is the distance not the displacement??!?
Ali 2
#5
Feb4-13, 03:38 PM
P: 22
ok i see what you mean ap123
the energy stored initially = the work done by the friction force
0.5*k*x0^2= C * mg * distance
ap123
#6
Feb4-13, 03:43 PM
P: 265
Yes, you've got it :)


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