Coefficient of Kinetic Friction

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SUMMARY

The discussion focuses on calculating the coefficient of kinetic friction for a child sliding down a playground slide inclined at 35.0 degrees with an acceleration of 1.32 m/s². The relevant equations include Fnet = ma, Fg = mg, and Ff = uFn, where u represents the coefficient of kinetic friction. Participants emphasize the importance of drawing a free body diagram to resolve the gravitational force into components parallel and perpendicular to the incline, which is crucial for solving the problem accurately.

PREREQUISITES
  • Understanding of Newton's Second Law (Fnet = ma)
  • Knowledge of gravitational force (Fg = mg)
  • Familiarity with frictional force equations (Ff = uFn)
  • Ability to draw and interpret free body diagrams
NEXT STEPS
  • Study the process of resolving forces in inclined planes
  • Learn how to calculate the coefficient of kinetic friction using experimental data
  • Explore the effects of angle of inclination on acceleration and friction
  • Practice problems involving free body diagrams and frictional forces
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of motion on inclined surfaces and the role of friction in such scenarios.

The Tutor
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Homework Statement


A child goes down a playground slide with an acceleration of 1.32 {m/s^2}. Find the coefficient of kinetic friction between the child and the slide if the slide is inclined at an angle of 35.0 deg below the horizontal.


Homework Equations


Fnet=ma
Fg=mg
Ff=uFn
I apologize, I do not know how to do the sign, or spell it, but u=coefficient of kinetic friction



The Attempt at a Solution


I have no idea how to even start this problem... the only thing I did (and I'm positive it's completely wrong) is:
Fnet=ma
m=Fnet/a

Fg=mg
Fg=m(9.81)
Fg=(Fnet/a)(9.81)

Giving detailed steps would be appreciated, I'm really bad at forces.
 
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The Tutor said:
Fg=(Fnet/a)(9.81)

From where did you get this?
First draw the free body diagram. Then resolve mg into two components - along the incline and normal to the incline. That will help.
 

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