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Km
m
v
ic
p
=+
=
+
=
×
1
2
1
2
290 0
7600
1271 10
2
2
10
di
bg
b
g
..
kg 150.0 kg
m / s
J.
(d) The total kinetic energy after the clamp is released is
()
(
)
(
)
22
10
11
1
1
290.0 kg 7290 m/s
150.0 kg 8200 m/s
2
2
1.275 10
J.
fc
cp
p
v
m
v
=
+
=×
The total kinetic energy increased slightly. Energy originally stored in the spring is
converted to kinetic energy of the rocket parts.
89. We assume no external forces act on the system composed of the two parts of the last
stage. Hence, the total momentum of the system is conserved. Let
m
c
be the mass of the
rocket case and
m
p
the mass of the payload. At first they are traveling together with
velocity
v
. After the clamp is released
m
c
has velocity
v
c
and
m
p
has velocity
v
p
.
Conservation of momentum yields
(
m
c
+ m
p
)
v = m
c
v
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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, Momentum

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