Solving the Coefficient of Kinetic Friction for a Sliding Pig

AI Thread Summary
To solve for the coefficient of kinetic friction for a pig sliding down a 35-degree incline, the problem involves analyzing the forces acting on the pig and applying kinematic equations. The pig takes twice as long to slide down compared to a frictionless scenario, indicating the presence of friction. Participants suggest using a free body diagram to identify the forces and their components acting parallel to the incline. The calculated coefficient of kinetic friction is proposed to be around 0.53, but verification is needed since the answer is not provided in the textbook. Understanding the relationship between time, distance, and acceleration is crucial for solving this problem.
Shatzkinator
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Homework Statement


A slide-loving pig slides down a certain 35 degree slide in twice the time it would take to slide down a frictionless 35 degree slide. What is the coefficient of kinetic friction between the pig and the slide?


Homework Equations


fs = Mk * Fn


The Attempt at a Solution


I'm not quite sure how to tackle this one =(
 
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HINT: Find the component of the net force that acts parallel to the incline.
 
Perhaps examine the kinematic relationship between time distance and acceleration?

x = 1/2*a*t2
 
Hootenanny said:
HINT: Find the component of the net force that acts parallel to the incline.

I don't understand how to do it, I'm only given the 35 degree angle. Also the answer isn't given in the back of the book so I couldn't know if I did it right even if I did have te correct procedure.
 
Shatzkinator said:
I don't understand how to do it, I'm only given the 35 degree angle.
Okay. I suggest you start by drawing a free body diagram, labelling all the forces.
 
Hootenanny said:
Okay. I suggest you start by drawing a free body diagram, labelling all the forces.

I have tried this... I still don't know what to do. Can you please show me the solution?
 
I got 0.53 as my Mk.. please let me know if this is right.
 
That's what I get.

3/4*tan35
 
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