1
This printout should have 12 questions.
Multiplechoice questions may continue on
the next column or page – fnd all choices
beFore answering.
001
10.0 points
The planet Mars has a mass oF 6
.
1
×
10
23
kg
and radius oF 3
.
2
×
10
6
m.
What is the acceleration oF an object
in Free Fall near the surFace oF Mars?
The value oF the gravitational constant is
6
.
67259
×
10

11
N
·
m
2
/
kg
2
.
Correct answer: 3
.
97488 m
/
s
2
.
Explanation:
Let :
M
= 6
.
1
×
10
23
kg
,
R
= 3
.
2
×
10
6
m
,
and
G
= 6
.
67259
×
10

11
N
·
m
2
/
kg
2
.
Near the surFace oF Mars, the gravitation
Force on an object oF mass
m
is
F
=
G
M m
R
2
,
so the acceleration oF an object in Free Fall is
a
=
F
m
=
G
M
R
2
= (6
.
67259
×
10

11
N
·
m
2
/
kg
2
)
×
6
.
1
×
10
23
kg
(3
.
2
×
10
6
m)
2
=
3
.
97488 m
/
s
2
.
002
10.0 points
An object has a weight
W
when it is on the
surFace oF a planet oF radius
R
.
What will be the gravitational Force on the
object aFter it has been moved to a distance
oF 4
R
From the center oF the planet?
1.
F
= 16
W
2.
F
=
W
3.
F
=
1
4
W
4.
F
= 4
W
5.
F
=
1
16
W
correct
Explanation:
On the surFace oF the planet,
W
=
GM m
R
2
.
When the object is moved to a distance 4
R
From the center oF the planet, the gravitational
Force on it will be
F
=
GM m
(4
R
)
2
=
GM m
16
R
2
=
1
16
GM m
R
2
=
1
16
W
.
003
(part 1 oF 3) 10.0 points
Consider a solar system similar to our Sun,
Earth, and Moon.
Moon
Planet
Sun
By what percentage does the weight oF the
47
.
3 kg woman standing in a total eclipse
oF the Sun (oF mass 1
.
963
×
10
30
kg) de
crease due to the Sun’s gravitational Force (ne
glecting the Moon’s gravitational Force) when
compared to her weight due to the planet’s
mass (3
.
93
×
10
24
kg) alone?
The radii oF
the planet and its moon are 6
.
6
×
10
6
m and
8
.
046
×
10
22
kg, respectively, the distances
oF the planet From the Sun and the moon
are 1
.
483
×
10
11
m and 3
.
75
×
10
8
m, respec
tively, and the universal gravitational con
stant is 6
.
67259
×
10

11
N m
2
/
kg
2
.
Correct answer: 0
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 Spring '08
 Turner
 Physics, Mass, Work, kg

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