Coefficient of Kinetic Friction

AI Thread Summary
To find the coefficient of kinetic friction between a child and a slide inclined at 35 degrees with an acceleration of 1.32 m/s², start by drawing a free body diagram. Resolve the gravitational force (Fg) into components parallel and perpendicular to the incline. Use the equation Fnet = ma to relate the net force to the child's mass and acceleration. The frictional force can be expressed as Ff = uFn, where u is the coefficient of kinetic friction and Fn is the normal force. Detailed steps involve calculating the forces acting on the child and applying Newton's second law to solve for u.
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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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