How Does a Mass Move on a Frictional Incline After a Spring Release?

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A spring with a constant of 3.2 N/cm is compressed 33 cm and releases a 3 kg mass down a frictionless incline of 24 cm height at a 23-degree angle. The incline has a 0.8 m section with a coefficient of friction of 0.5, affecting the mass's motion. The user is struggling with the equations for work and energy, specifically in calculating the final velocity and the relationship between the spring and the mass. There is confusion regarding the variables x and h in the equations. Clarification on these points is needed for a correct solution.
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Homework Statement



A spring with a spring constant 3.2N/cm is compressed 33cm and released. The 3kg mass skids down the frictionless incline of height 24cm and inclined at a 23 degree angle. The acceleration of gravity is 9.8m/s^2. The path is frictionless except for a distance of .8m along the incline which has a coefficient of friction of .5.

Homework Equations


Wnc=Efinal - Einitial
mvf^2/2- kx^2/2+mgh

Wnc=-f*d
µmgcos23*d



The Attempt at a Solution



I have attempted to solve it twice so far and have gotten the answers wrong. I may have my equations that I am using wrong. I am also having trouble figuring out x and h.

Any help would be great!
 
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You did not say how are the spring and mass related.

ehild
 

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