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Horizontal spring with friction 
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#1
Feb413, 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 


#2
Feb413, 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 


#3
Feb413, 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? 


#4
Feb413, 03:24 PM

P: 22

Horizontal spring with friction
hello
ok the work done by the spring is 0.5*k*x_{0}^{2}  0.5*k*x_{1}^{2} we know that x_{0}=0.1m but what is x_{1}, since the 0.25m given in the question is the distance not the displacement??!? 


#5
Feb413, 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 


#6
Feb413, 03:43 PM

P: 265

Yes, you've got it :)



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