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Horizontal spring with friction

  • Thread starter Ali 2
  • Start date
  • #1
22
1

Homework Statement


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.



Homework 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


The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
137
0
i would recommend using work to solve this problem.
Work=force*distance
also work done by a spring is .5*k*x^2
 
  • #3
265
0
Conservation of energy would be the easiest way to solve this.
What happens to the potential energy initially stored in the spring?
 
  • #4
22
1
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??!?
 
  • #5
22
1
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
265
0
Yes, you've got it :)
 

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