Coefficient of kinetic friction problem

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The discussion revolves around calculating the coefficient of kinetic friction for a car that stops on a level road. The car initially travels at 86 km/hr and stops within 93 m, with an acceleration of 3.0967 m/s² already determined. The user struggles to find the coefficient of kinetic friction, initially miscalculating the normal force as the product of the car's speed and gravity. It is clarified that the normal force should be the weight of the car (mass times gravity), and the kinetic friction force is what stops the car. The solution involves recognizing that mass cancels out in the equations, allowing for the calculation of the coefficient of kinetic friction without needing the car's mass.
kkowale4
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Homework Statement



On a level road with its brakes on, a car traveling at 86 km/hr stops within 93 m when the brakes lock and the car slides.
- a) What is the magnitude of the acceleration of the car? 3.0967 which i already found.
- b) What is the coefficient of kinetic friction between the tires and the pavement? ? ?



Homework Equations



kinetic friction = (coefficient of kinetic friction)( Normal force)


The Attempt at a Solution



For part B (the part i can't figure out)
86km/hr = 24m/s
24(9.8 gravity)= 235.2 Normal force
24/235.2 = .102 = coefficient of kinetic friction which is wrong
 
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You have the right equation for friction but you have misunderstood what it means.
The normal force is the weight of the car = mass * g
The kinetic friction is the friction force stopping the car. You know this because the "coefficient of kinetic friction" has no units this kinetic friction must have the same units as Normal force for the equation to balance.
You can find this from F=ma where a is the (de)acceleration of the car while it is slowing and m is the mass of the car again.
 
how can i find the normal force if i don't have the mass of the car?
 
Write out the equation - 'm' appears on both sides.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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