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83. If we choose “downhill” positive, then Newton’s law gives
mg
sin
θ
–
f
k
=
ma
for the sliding child
.
Now using Eq. 612
f
k
=
μ
k
F
N
=
k
mg
,
so we obtain
a
=
g
(sin
–
k
cos
) = – 0.5 m/s
2
(note that the problem gives the direction
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 Spring '08
 Any
 Physics, Acceleration

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