Question #248909

A 5.00-kg box slides 3.00 m across the floor before coming to rest. What is the coefficient of kinetic friction between the floor and the box if the box had an initial speed of 3.00 m/s?


1
Expert's answer
2021-10-10T15:56:18-0400

Given:

m=5.00kgm=5.00\:\rm kg

d=3.00md=3.00\:\rm m

v0=3.00m/sv_0=3.00\:\rm m/s


The enegry-work theorem says

mvf22mv022=W=μmgd\frac{mv_f^2}{2}-\frac{mv_0^2}{2}=W=-\mu m g d

So

μ=v022gd=3.00229.813.00=0.153\mu=\frac{v_0^2}{2gd}=\frac{3.00^2}{2*9.81*3.00}=0.153


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