Question

A child goes down a playground slide with an acceleration of 1.24 m/s^2.
Find the coefficient of kinetic friction between the child and the slide if the slide is inclined at an angle of 32.0 degrees below the horizontal.

Answer 1

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The childs weight has two components, down the slide, normal to the slide.
down the slide=mg*sinTheta
normal to slide=mg*cosTheta

so
net force = m*a
mg*sinTheta-mu*mg*cosTheta= ma

solve for mu.