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41. (a) The mass
M
within Earth’s orbit is used to calculate the gravitational force on
Earth. If
r
is the radius of the orbit,
R
is the radius of the new Sun, and
M
S
is the mass of
the Sun, then
M
r
R
M
s
=
F
H
G
I
K
J
=
×
×
F
H
G
I
K
J
×=
×
3
11
12
3
30
25
150 10
590 10
199 10
327 10
.
.
..
.
m
m
kg
kg
c
h
The gravitational force on Earth is given by
GMm r
2
, where
m
is the mass of Earth and
G
is the universal gravitational constant. Since the centripetal acceleration is given by
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This note was uploaded on 05/19/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Force, Mass

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