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I have the following problem that I am having trouble with:

A book has a mass of 400 grams. When you slide the book against the floor with a force of 5 N, it accelerated at a rate of -1.5 m/s^2.

What would the coefficient of friction be between the book and the floor?

So, my solution seems to be:

Where F is force

N is normal force

FF is force of friction

u is coefficient of friction

I know F = ma, N = -mg, and FF = uN, so that FF = -umg.

Is this just a matter of setting ma = -umg, then a = -ug, and then u = -a/g ?

So given that g = 9.8 m/s^2:

I get an answer of 0.15, is this correct?

Is this the correct way to approach this problem?

Is the 5 N force just unneeded information here?

Thank you for your help