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

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SUMMARY

The discussion focuses on the dynamics of a mass moving down a frictional incline after being released from a compressed spring. The spring has a constant of 3.2 N/cm and is compressed by 33 cm, while the mass is 3 kg and descends a frictionless incline of height 24 cm at a 23-degree angle. The incline has a frictional section of 0.8 m with a coefficient of friction of 0.5. Key equations include the work-energy principle and the relationship between work done by friction and gravitational potential energy.

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  • Understanding of the work-energy principle in physics
  • Familiarity with spring mechanics and Hooke's Law
  • Knowledge of frictional forces and coefficients of friction
  • Basic trigonometry for resolving forces on an incline
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  • Review the work-energy principle and its application in mechanics
  • Study Hooke's Law and its implications for spring systems
  • Learn about calculating frictional forces on inclined planes
  • Explore kinematic equations for motion along an incline
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Students studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts related to springs and inclined planes.

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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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