A.
Student
1)
B)
Date
Class ---
_
©
5.0 x 100 N
3.3
x
IO-ION
6.7
10-1 I ~
x
1.3 x 10-11 N
0)
The radius of Mars is approximately one-half the radius of Earth. and the mass of Mars is approximately onetenth the rrass of'Farth, Compared to the acceleration due to gravity on the surface of Earth, the acceleration due
to gravity on the surface of Mars is
A)
3)
_
What is the magnitude ofthc gravitational force between two S.O-kilogram masses separated by a distance of
5.0 rreters?
.
- A)
2)
K£ I.f
®
11) the sarre
larger
srraller
The diagram helow represents two satellites of equal rrass, A and 8, in circular orbits around a planet.
.
)
-
- _----_
,
.'
_
,
/
/
,
""
",
,
/
I
\
I
\
\
/
I
2R
I
C
I
I
,
,
"
-----
Compared to the magnitude of the gravitational force of attraction between satellite A and the planet, the
magnitude of the gravitational force of attraction between satellite B and the planet is
A)
B)
4)
C)
®
four tirres as great
one-fourth as great
A 2.0-kilogram mass weighs 10. newtons on planet X. The acceleration die to gravity on planet X is
appro xirratc ly
A)
5}
twice as great
halfas great
20. rrVs2
@ 5.0 rrVs2
C)
9.8 m's2
0)
0.20 m's2
An astroraia weighs 500 newtons on Earth and 25 newtons on asteroid X. The acceleration due to gravity on
asteroid X is approximately
A)
2nys2
@ 0.5 mls2
C)
0.2 mls2
0)
1 m's2
6)
When a satellite is a distance R from the center of Earth, the force due to gravity on the satellite is F. What is the
force due to gravity on the satellite when its distance from the center of Earth is 3Fr?
A)
7)
F
B)
9F
C)
i
@ ~.
A space probe is launched into space from Earth's surface. Which one of the following graphs represents the
relationship between the rmgnitude of tile gravitational force exerted on Earth by the space probe and the
distance between the space probe and the center of Earth?
0)
3
L-
ft
0
0
L-
C)
u,
u,
Distance
Distance
~
L-
R)
0
I)
u,
8...
0
u,
Distance
Distance
'.
8)
Earth's rrass is approxirmtely 81 tines the mass of the Moon. If Earth exerts a gravitational force ofrragninde
on the Moon, tbe rmgnitude of the gravitational force of the Moon on Earth is
A)
9)
10)
9F
C)
F
8)
D)
F
81F
As arretcor moves from a distance of 16 Earth radii to a distance of2 Earth radii from the center of Earth, the
magnitude of tile gravitational force between the rreteor and Earth becomes
A)
as great
B)
8 times as great
C)
@
4 tirres as great
64 times as great
When Earth and the Moon arc separated by a distance of3.84 x 108 meters, the rragnaudc of the gravitational
force of attraction between them is 2.0 x 1020 newtons. What would be the rragnitude of this gravitational force
of attraction if Earth and the Moon were separated by a distance of 1.92 x 108 meters?
®
8.0 x 1020 N
8)
2.0 x 1020~
C)
5.0 x 1019 ~
D)
4.0 x 1020 N
11)
The diagram shows two bowling balls, A' and B, each having a rrass of7.00 kilograms, placed 2.00 meters apart.
B
A
What is the rragnitudc ofthc gravitational force exerted by hall A on balllJ?
12)
A)
8.17 x 10-9 N
C)
B)
1.63 x IO-9N
@)
8.17 x 10-ION
Whch diagram best represents the gravitational forces, Fg- between a satellite, S, and Earth?
If.l
I~,
8)
l~
13)
1.17 x 10-10 N
9-
I.
S
I
9 .
.
D)
C)
A:
' EARTH
I.
ck
r.
Fg
,
~
..
Gravitational force F exists between point objects A and B separated by distance R. If the rrass orA is doubled
and distance R is tripled. what is the new gravitational force between A and B?
A)
~F
B)
~F
@
')
~F
D)
iF
Student
_
Class-----
Date
Free Response
(4 points)
1. The attractive forces between Earth and Moon are partially
responsible for tidal waves that occur on our oceans twice a day.
a) Calculate the magnitude of the gravitational force of attraction
that the Moon exerts on Earth. [3]
b) What is the force that Earth exerts on the Moon? Why? [1]
ba5ed
_
(5 points)
2. The International Space Station is an artificial satellite that
completes 15.7 orbits per day and that has a mass of 52e eee kg.
J
a) Calculate the weight of the satellite when it was resting on the
Earth. [1]
F~ :::-
yV\ ~
""
(s lOOO~
kg)
C9· %, ...."., )
~~~\O~
b) Calculate the acceleration due to gravity of Earth at a height of
348 km above the surface of the Earth. [2]
6
b
G.71}j
x
10
....,
b.'37X,o
""" + 34S0oo"-
-=
zc.,
M ::::5. q g )(I 0
E.Al'l TH
j (~
c) Calculate the weight of the satellite when in its orbit, which is
348 km above the surface of the Earth. [2]
52.0000
l
,,,-4.
f,
x
8 ( 8. s
b"\
to rJ )
l(
M
I
>'). )
(5 points)
3. For a satellite to remain stationary as related to a location on
Earth (hence the name geostationary) its height above the surface of
the Earth has to be approximately 35,eee km.
a) Derive a formula for the speed of a satellite in a circular orbit
around the Earth, at a distance r from the center of the Earth. [3]
b) Find the speed of the satellite that is
of the"Earth. [2]
h . '35000
I(M
-:::
km above the surface
~.5)< (Or~
.
b
--~
~ l4~7 ~'~
- (,. '>7
35,eee
1
"'0 ~ + 3.5)( lO ~
\.
-----------
(b.6 7><1{)-11
"1
..-..- 2~
N~/,~~
)(5.
C(r.~
1
'1.\31x 10 ~
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