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49. (a) If
r
is the radius of the orbit then the magnitude of the gravitational force acting on
the satellite is given by
GMm/r
2
, where
M
is the mass of Earth and
m
is the mass of the
satellite. The magnitude of the acceleration of the satellite is given by
v
2
/r
, where
v
is its
speed. Newton’s second law yields
GMm/r
2
=
mv
2
/r
. Since the radius of Earth is 6.37
×
10
6
m the orbit radius is
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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, Acceleration, Force, Mass

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