25.
REASONING
The magnitude of the
gravitational force exerted on the satellite
by the earth is given by Equation 4.3 as
2
satellite
earth
/
F
Gm
m
r
=
, where
r
is the distance
between the satellite and the center of the earth. This expression also gives the magnitude
of the gravitational force exerted on the earth by the satellite.
According to Newton’s
second law, the magnitude of the earth’s acceleration is equal to the magnitude of the
gravitational force exerted on it divided by its mass. Similarly, the magnitude of the
satellite’s acceleration is equal to the magnitude of the gravitational force exerted on it
divided by its mass.
SOLUTION
a.
The magnitude of the gravitational force exerted on the satellite when it is a
distance of two earth radii from the center of the earth is
(
)
(
)
(
)
( )
(
)
11
2
2
24
3
satellite
earth
2
2
6
6.67
10
N m
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 Spring '08
 SOFFER
 Mass, Gravitational Force

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