# horizontal spring with friction

by Ali 2
Tags: friction, horizontal, spring
 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
 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
 P: 263 Conservation of energy would be the easiest way to solve this. What happens to the potential energy initially stored in the spring?
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??!?
 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
 P: 263 Yes, you've got it :)

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