10.28.
Model:
In this case of a onedimensional collision, the momentum conservation law is obeyed
whether the collision is perfectly elastic or perfectly inelastic.
Visualize:
Solve:
In the case of a perfectly elastic collision, the two velocities
f1
()
x
v
and
f2
x
v
can be determined by combining
the conservation equations of momentum and mechanical energy. By contrast, a perfectly inelastic collision
involves only one final velocity
f
x
v
and can be determined from just the momentum conservation equation.
(a)
1i1
2i2
1f1
2f2
2222
Momentum conservation:
(
)
(
)
(
)
(
)
11
Energy conservation:
(
)
(
)
(
)
(
)
22
xx xx
xxxx
mv
+=+
These two equations can be solved as shown in Equations 10.39 through 10.43:
12
i1
1
(100 g)
(300 g)
(
1
0
m
/
s
) 5
.
0
m
/
s
(100 g)
(300 g)
(
1
0
0
g
)
(
1
0
m
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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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