Calculating Coefficient of Kinetic Friction on an Inclined Ramp

AI Thread Summary
A 10 kg suitcase on a 37-degree inclined ramp accelerates at 0.15 m/s², prompting a calculation for the coefficient of kinetic friction. The net force is determined to be 1.5 N, leading to the equation for kinetic friction. Initial calculations yield a coefficient of approximately 0.46, but discrepancies arise with the textbook answer of 0.73. After reviewing the math, a user realizes a computational error due to a missing parenthesis in their calculator input. The discussion highlights the importance of careful calculations in physics problems.
superdave
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Here it is.
A 10 kg suitcase is placed on a flat ramp inclined at 37 deg. When released from rest, the suitcase accelerates down the ramp at .15 m/s^2. What is the coefficient of the kinetic friction between the suitcase and the ramp?

Now, from this I got Fnet=m*a=1.5 N in the x direction.

Fnet=Fx-kinetic friction=mg(sin theta)-mg(cos theta)(mu k)
solving for mu k:
mu k=mg(sin theta)-Fnet)/mg(cos theta)

Doing all the math gets me something like .46, but the back of the book disagrees. What am I doing wrong?
 
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The question is wrong. The acceleration is greater than g.
 
It's 0.15 m/s^2. I left out the 0, so it might've looked like 15. Sorry.
 
I can't see that you've done anything wrong.
 
The answer I get is .468, but the book gives .73. Unless the book is wrong, which I guess is conceivable.
 
I set it up the same way and got u=0.734. Maybe just re-check your math after the last equation.
 
Show your calculations.
 
Thanks, I got it. I had forgotten to add a parenthesis when putting it into my calculator. Stupid me. I tried to post this yesterday, but the forum seemed to go down.
 
Yeah it did go down. Most errors I make are computational rather than systematic.
 
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