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The +
x
direction is “downhill.’’
Application of Newton’s second law to the
x
 and
y
axes leads to
sin
cos
0.
k
N
mg
f
ma
Fm
g
θ
−=
Solving these along with Eq. 62 (
f
k
=
μ
k
F
N
) produces the following result for the pig’s
downhill acceleration:
()
sin
cos
.
k
ag
=−
To compute the time to slide from rest through a downhill distance
A
, we use Eq. 215:
A
A
=+
¡
=
vt
a
t
t
a
0
2
1
2
2
.
We denote the frictionless (
k
= 0) case with a prime and set up a ratio:
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Force, Mass

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