34.
REASONING
Equation 5.2 for the centripetal acceleration applies to both the plane
and the satellite, and the centripetal acceleration is the same for each.
Thus, we have
a
v
r
v
r
v
r
r
v
c
plane
2
plane
satellite
2
satellite
plane
plane
satellite
satellite
or
=
=
=
F
H
G
G
I
K
J
J
The speed of the satellite can be obtained directly from Equation 5.5.
SOLUTION
Using Equation 5.5, we can express the speed of the satellite as
v
Gm
r
satellite
E
satellite
=
Substituting this expression into the expression obtained in the reasoning for the
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 Spring '08
 SOFFER
 12 m, 10 6 m, 10 kg, GmE rsatellite

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