Why Is My Coefficient of Friction Negative?

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A student conducted a lab on the coefficient of friction for an object on an incline and found a negative value for kinetic friction. Despite verifying calculations, the student is uncertain about the implications of a negative coefficient. Forum members suggest that a negative coefficient is not possible and inquire if the ramp was positioned incorrectly, potentially placing the angle in the second quadrant. The discussion highlights the importance of proper setup and calculation in experiments involving friction. Understanding the correct orientation of the incline is crucial for accurate results.
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Homework Statement



I just did a lab at school dealing with coefficient of friction for an object on an incline. After all my calculations done, my answer is negative for a cart sliding down, dealing with kinetic friction.

Homework Equations





The Attempt at a Solution



I have checked all my calculations and have found nothing wrong.
 
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Well how can we help unless you show us your calcs??
 
My question is whether the coefficient of friction can be negative?
 
Did you turn the ramp around so the angle was in the 2nd quadrant?
 
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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