Finding the Coefficiant of friction

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SUMMARY

The discussion centers on calculating the coefficient of friction for a cart weighing 1.5 kg, which is accelerating at 0.12 m/s² on a horizontal surface. The user initially calculated the frictional force (Ff) as 0.31 N using the equation F=ma, but misapplied the normal force by incorrectly using 1500 instead of the correct mass in kilograms. The correct coefficient of friction (µ) is determined using the formula µ = Ff / (mg), leading to a final value of 0.2 after correcting the calculations.

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A cart that weighs 1.5 kg is accelerating at .12 M/s^2 on a horizontal surface. The cart is being pulled by a weight of 50 grams. Find the coefficiant of friction.

I've been using F=ma so 1.5(.12)=.18N

the weight pulling is equal to .05kg(9.8)=.49N

.49-.18=.31N=Ff Ff=m(Fn) .31=m(1500) m (the coefficient of friction)= .0002

I don't feel like this is the right answer, can anyone see what I'm doing wrong?
 
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Check your calculation for the normal force...Where did you get 1500 from?
 
rakbarut said:
Check your calculation for the normal force...Where did you get 1500 from?

I thought in Normal force was measured in grams, not kilograms. That may be where I went wrong. So the proper equation should be .31/1.5=.2? That seems pretty simple and for some reason feel like I've messed up somewhere else but if that's all that I seem to have done wrong then thanks!
 
Again make sure all your calculations are correct...If the Ff = .31 N and the mass of the object is 1.5 kg use the equation µmg=Ff to solve for µ. I think you understand the concepts, just make sure you are doing the algebra correctly...
 
BlakcDahlia said:
I thought in Normal force was measured in grams, not kilograms.
Forces are measured in Newtons. Grams and kilograms are used for mass, not force.
 

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