True/False
Indicate whether the
sentence or statement is true or false.
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1. |
At
a particular location, the gravitational field around a celestial body
depends only on the mass of the body.
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2. |
If
both the radius and mass of a planet were to double, the magnitude of
the gravitational field strength at its surface would become half as
great.
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3. |
The
speed of a satellite in a stable circular orbit around Earth is independent
of the mass of the satellite.
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4. |
In
the Suns frame of reference, the Moons orbit around Earth
appears as an epicycle.
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5. |
In
a typical high-school physics investigation, the Evidence
is to the Analysis as Keplers work was to Tycho Brahes
work.
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6. |
In
Figure 1, where the path distances d1 and d2
are equal, the speeds along those path segments are equal.
Figure 1
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7. |
When
calculating Keplers third-law constant for Earth, the value is
larger for the Moon than for an Earth-bound satellite because the Moon
is much farther away.
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8. |
The
gravitational potential energy of the Earth-Moon system is inversely
proportional to the square of the distance between the centres of the
two bodies.
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9. |
As
a space probe travels away from Earth, its change in gravitational potential
energy is positive, even though its gravitational potential energy is
negative.
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10. |
As
you are working on this problem, your escape energy is greater than
your binding energy.
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Multiple Choice
Identify
the letter of the choice that best completes the statement or answers
the question.
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For questions 11 to 19, refer to Figure 2.
Figure
2
The first variable named in
each of questions 11 to 19 corresponds to the y-variable on one
of these graphs; the second variable named corresponds to the x-variable.
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11. |
The
y-variable is the magnitude of the gravitational field strength
at a point above a planets surface; x is the planets
mass.
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12. |
The
y-variable is the magnitude of the gravitational field strength
at a point above a planets surface; x is the distance to
the centre of the planet.
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13. |
The
y-variable is the speed of a satellite in a stable circular orbit
around a planet; x is the mass of the planet.
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14. |
The
y-variable is the speed of a satellite in a stable circular orbit
around a planet; x is the distance to the centre of the planet.
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15. |
The
y-variable is the area swept out by a line joining a planet to
the Sun; x is the time interval during which that line is swept
out.
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16. |
The
y-variable is the average radius of a planets orbit; x
is the period of revolution of the planets motion around the Sun.
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17. |
The
y-variable is the cube of the average radius of a planets
orbit; x is the square of the period of revolution of the planets
motion around the Sun.
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18. |
The
y-variable is the kinetic energy of a space probe that was given
enough energy to escape Earths gravitational field; x is
the distance from Earths centre.
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19. |
The
y-variable is the gravitational potential energy of a space probe
that was given enough energy to escape Earths gravitational field;
x is the distance from Earths centre.
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20. |
The
law that allows us to determine Earths mass is
a. |
Keplers first law of planetary motion |
b. |
Keplers
second law of planetary motion |
c. |
Keplers third law of planetary motion |
d. |
Newtons
law of universal gravitation |
e. |
Newtons second law of motion |
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21. |
If
the distance between a spacecraft and Saturn increases by a factor of
three, the magnitude of Saturns gravitational field strength at
the position of the spacecraft
a. |
decreases
by a factor of  |
b. |
increases
by a factor of  |
c. |
decreases
by a factor of 9 |
d. |
increases
by a factor of 9 |
e. |
decreases
by a factor of 3 |
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22. |
Satellite
S1 is moving around Earth in a circular orbit of radius four
times as large as the radius of the orbit of satellite S2.
The speed of S1, v1, in terms of v2
equals
a. |
16v2 |
b. |
v2 |
c. |
2v2 |
d. |
0.5v2 |
e. |
none of these |
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23. |
If
the mass of the Sun were to become half its current value, with Earth
maintaining its same orbit, the time interval of one Earth year would
a. |
remain the same |
b. |
decrease
by a factor of  |
c. |
increase
by a factor of  |
d. |
increase
by a factor of 2 |
e. |
decrease
by a factor of 2 |
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24. |
A
satellite in geosynchronous orbit has a period of revolution of
a. |
1.5
h |
b. |
1.0
h |
c. |
24
h |
d. |
365.26
d |
e. |
none
of these |
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25. |
Figure
3 shows the path of a comet around the Sun. The speeds at the four
positions shown are vA, vB, vC,
and vD. Which statement is true?
Figure 3
a. |
vA
> vB = vD > vC |
b. |
vA
< vB = vD < vC |
c. |
vA
> vB > vC > vD |
d. |
vA < vB
< vC < vD |
e. |
none
of these |
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26. |
A
certain planet has Earths mass, but only one-quarter its diameter.
The escape speed from this planet in terms of Earths escape speed
vE is
a. |
vE |
b. |
vE |
c. |
vE |
d. |
4vE |
e. |
2vE |
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