Average coefficient of friction

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SUMMARY

The average coefficient of friction for a skier traveling at 11 m/s up a 22° incline over a distance of 13 m before coming to rest is determined using the principles of physics. The skier's initial kinetic energy is converted into potential energy and work done against friction. The relevant equations involve kinetic energy, gravitational potential energy, and the work-energy principle, which allows for the cancellation of mass in the calculations.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with kinetic and potential energy concepts
  • Knowledge of trigonometric functions related to angles
  • Basic grasp of the work-energy principle
NEXT STEPS
  • Study the work-energy principle in detail
  • Learn how to derive the average coefficient of friction from energy equations
  • Explore the effects of incline angles on friction and motion
  • Practice problems involving kinetic and potential energy conversions
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of motion on inclined planes and the calculations involved in determining frictional forces.

Bones
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Homework Statement


A skier traveling 11 m/s reaches the foot of a steady upward 22° incline and glides 13 m up along this slope before coming to rest. What was the average coefficient of friction?


Homework Equations





The Attempt at a Solution


Can someone help me get started by helping me with the equation and figuring out how mass cancels out?
 
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I figured this one out ;)
 

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