=
=
=
Department =
of Natural
Sciences
Clayton State
University
=
October 31, 2=
008
Physics 221=
1 –
Quiz 9
=
=
Name
___SOLUTION_________________________________
A 2.00 kg piece of wood slides on the surface shown be=
low.
The curved sides are perfectly smooth, but the rough horizontal bottom is 1=
0.0
m long and has a coefficient of kinetic friction with the wood of 0.200. The
piece of wood starts from rest 4.00 m above the rough bottom.
![](3D"Fall08.Phys2211.Quiz9.SolutionWeb_files/image002.jpg")
<=
/span>
a. Find the magnitude of the kinetic
friction that acts on the wood as it moves over the rough bottom.
fk =3D mk =
n =3D mk(mg) =3D (0.200)(2.00 kg)(9.80 m/s2=
)
=3D 3.92 N
b. How much work is done by friction =
on the
wood as the wood crosses the rough bottom?
Wfk
=3D (3.92 N)(10.0 m)cos(180o)
=3D -39.2 J
c. Where will this wood eventually come to rest?
Wfk =3D Ef – Ei =3D
mgyf – mgyi
mgyf =3D mgyi +Wfk <=
/span>
yf =3D yi +Wfk /(mg) =3D 2.00 m
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