Work-Energy Theorem: Determine Distance for 73kg Skier w/ 4.2m/s

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SUMMARY

The discussion centers on applying the work-energy theorem to determine the distance a 73 kg skier travels up a hill inclined at 9.3 degrees, starting from an initial speed of 4.2 m/s. Participants emphasize the importance of calculating work using the equation W = change in kinetic energy (EK) and suggest drawing a free-body diagram to identify the forces acting on the skier. The friction is negligible, simplifying the calculations. The correct approach involves understanding the relationship between work, force, and distance.

PREREQUISITES
  • Understanding of the work-energy theorem
  • Knowledge of free-body diagrams in physics
  • Familiarity with kinetic energy calculations
  • Basic trigonometry for inclined planes
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  • Study the work-energy theorem in detail
  • Learn how to draw and interpret free-body diagrams
  • Explore kinetic energy formulas and their applications
  • Research the effects of incline angles on motion
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Students studying physics, particularly those focusing on mechanics and the work-energy theorem, as well as educators looking for practical examples to illustrate these concepts.

Physicsgeeks1
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Homework Statement


A 73kg skier coasts up a hill inclined at 9.3 degree's to the horizontal. Friction is negligible. Use work-energy theorem to determine how far along the hill the skier slides before stopping, if the intial speed at the bottom is 4.2m/s


To find the distance I know i need w=Force applied x distance, but I can't find out how to get Force applied? I also just used W=change in EK to find work but is that correct?
 
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Physicsgeeks1 said:
To find the distance I know i need w=Force applied x distance, but I can't find out how to get Force applied?
Try drawing a free-body diagram for the skier. What are the forces acting on the skier, and in what direction are they?
I also just used W=change in EK to find work but is that correct?
Yes, that is the idea.
 

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