physics

A child slides down a slide with a 28° incline, and at the bottom her speed is precisely three-fifths what it would have been if the slide had been frictionless. Calculate the coefficient of kinetic friction between the slide and the child

Height= length/sin28
energy available= mgh=mg length/sin28

friction loss= 2/5 of energy available
mgcos28*mu*length= 2/5 mg length/sin28

solve for mu.

Check my thinking.
Remember Sin(A+B)= 2 sinAcosB

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