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

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SUMMARY

The discussion focuses on calculating the coefficient of kinetic friction for a 9.50 kg car on a 30° incline, pushed with an applied force of 80.0 N. The initial calculation yielded a coefficient of 1.3833, which was deemed incorrect. The error was identified as neglecting the component of the weight acting parallel to the incline when determining the net force. The correct formula for net force is F_net = F_applied - F_parallel - F_friction, which should be used to accurately calculate the coefficient of kinetic friction.

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  • Understanding of Newton's laws of motion
  • Basic trigonometry for resolving forces on an incline
  • Knowledge of frictional forces and coefficients
  • Ability to perform calculations involving mass, weight, and acceleration
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  • Learn about the components of weight on inclined planes
  • Study the relationship between applied force, friction, and acceleration
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking to clarify concepts related to friction and inclined planes.

RingWraith2086
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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.

[tex]F_{\rm net} = F_{\rm applied} - F_{\rm parallel} - F_{\rm friction}[/tex]

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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