Dexter Eius is running through the cafeteria when he slips on some mashed potatoes and falls to the floor. (Let that be a lesson for Dexter.) Dexter lands in a puddle of milk and skids to a stop with an acceleration of -4.8 m/s/s. Dexter weighs 780 Newtons. Determine the coefficient of friction between Dexter and the milky floor.

 μ = 0.49

Explanation:

For this exercise we can use Newton's second law

Y Axis

       N - W = 0

       N = W = mg

X axis

       -fr = ma

the equation for the friction force is

        fr = μ N

we substitute

       -μ  m g = ma

        μ = -a / g

we calculate

      μ = 4.8 / 9.8

      μ = 0.49

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