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12.82.
Model:
The clay balls are particles and undergo a totally inelastic collision. Linear momentum is
conserved during the collision.
Visualize:
Solve:
(a)
The
angle
is
measured
counterclockwise
from
r
G
to
.
v
G
From
geometry,
()
1
1
180
tan
1
225 ,
β
−
=°
+
and
1
2
1
tan
26.6 .
2
−
⎛⎞
==
°
⎜⎟
⎝⎠
So
(
)
12 1
1
1 1 2
2
2
2
2
sin
sin
0.015 kg
2 m
2 m/s sin 225
0.025 kg
5 m
2.0 m/s sin 26.6
0.020 kg m /s.
LL L m
r
v
m
r
v
ββ
=++
+
+
°
=
Note that the signs of
1
L
and
2
L
agree with those determined by the righthand rule.
(b)
At the instant before the clay balls collide they are located at (1.5 m, 1.0 m). Here,
1
21
2
2
tan
33.7
180
146.3
3
−
°
=
°
+
=
°
So
(
)
(
)
( )
(
)
(
)
22
2
0.015 kg
1.0 m
1.5 m
2.0 m/s sin 213.7
0.025 kg
1.0 m
1.5 m
2.0 m/s sin33.7
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This note was uploaded on 12/10/2011 for the course PHYS 1211 taught by Professor Geller during the Fall '09 term at UGA.
 Fall '09
 geller
 Momentum

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