What is the Coefficient of Kinetic Friction for an Inclined Object?

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The discussion revolves around calculating the coefficient of kinetic friction for a lightweight car on a 30° incline, given its mass, applied force, and acceleration. The user initially calculated the coefficient as 1.3833 but questioned its validity, suspecting it to be too high. A key correction pointed out was the omission of the weight component along the incline in the net force equation. The correct formula for net force should include both the applied force and the parallel component of weight. The user plans to seek clarification from their teacher and intends to start a new thread for further assistance.
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OK here's the problem: An extremely light drivable car with a mass of only 9.50 kg was built. Suppose that the wheels of the car are locked, so that the car no longer rolls. If the car is pushed up a 30° slope by an applied for of 80.0 N, the net accel. of the car is 1.64 m/s2. What is the coefficient of kinetic friction between the car and the incline?

And where's what I've done:
m = 9.5
W = 93.195
a = 1.64
Fnet = ma = 15.58
Fapplied = 80
Ffriction = Fapplied - Fnet = 64.46
Fperendicular = CosTheta(W) = 80.709 (also Fnormal)
Fparallel = SinTheta(W) = 46.5975

Then I have:
Coeff of friction = Ffriction/Fnormal = 64.46/46.5975 = 1.3833

But according to the answers my teacher gave me, and logic (that seems a little bit high for the situation), that isn't right. Please show me where I'm going wrong. Thanks.
 
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You forgot the component of the weight along the incline when calculating Fnet.

F_{\rm net} = F_{\rm applied} - F_{\rm parallel} - F_{\rm friction}

Try redoing it from there and see how it works out.
 
This teacher is the best science teacher I've ever had, but for some reason she failed to mention that the Fparallel was in the Fnet formula on the angle. And I know I didn't just copy it down wrong, because two of my friends (one of whom made a 36 on the math part of his ACT) couldn't do it either. I'll ask her about it when I get back to school, but thanks for the help. I've got another one I need help on, but I'm going to start a different thread. Thanks again.
 
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