Calculus based physics problem. (energy and fricition)

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SUMMARY

The discussion centers on a physics problem involving a 3.8 kg block sliding on a frictionless track before encountering friction at a higher level. The block's initial speed is 6.9 m/s, and it experiences a height difference of 1.2 m with a coefficient of kinetic friction (μk) of 0.649. Key calculations include energy transferred to thermal energy at 45.771 J, a normal force of 37.24 N, and a kinetic energy frictional force of 24.168 J. The user seeks guidance on applying the work-energy principle, specifically using the equation W = fd to find the distance d the block travels before stopping.

PREREQUISITES
  • Understanding of basic physics concepts such as kinetic energy and potential energy
  • Familiarity with the work-energy principle in mechanics
  • Knowledge of friction and its coefficients, particularly kinetic friction
  • Ability to perform calculations involving forces and distances
NEXT STEPS
  • Review the work-energy principle and its application in frictional scenarios
  • Study the derivation and implications of the equation W = fd in physics
  • Explore examples of energy conservation in mechanical systems
  • Investigate the effects of different coefficients of friction on motion
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in applying calculus to solve mechanics problems involving energy and friction.

oohaysomeone
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In the figure, a 3.8 kg block slides along a track from one level to a higher level after passing through an intermediate valley (frictionless). The track is frictionless until the block reaches the higher level. There a frictional force stops the block in a distance d. The block's initial speed is v0 = 6.9 m/s, the height difference is h = 1.2 m, and μk = 0.649. Find d.

i've already found that energy transferred to thermal energy is 45.771 J, the normal force = 37.24 and the KE frictional force = 24.168 J but I'm not sure what to do with these numbers.
 
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I think you use W = fd. But, I'm not sure how.
 

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