Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 7, Problem 6P
To determine
The mass of the Moon using the given value.
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Given the following information on Jupiter's Galilean moons, (a) determine the average
mass of Jupiter and (b) compare to the known value of 1.898 × 1027 kg. Jupiter's
diameter is 1.40 × 105 km. Assume the diameter of Jupiter is 139,820 km.
Period in
Orbital Diameter in
Name
Days
Jupiter Diameters
lo
1.77
6.03
Europa
3.55
9.60
anymede
7.16
15.3
Callisto
16.7
26.9
The Moon’s mass is 1/80 that of Earth, and the lunar radius is 1/4 of Earth’s radius. Based on these figures, calculate the total weight on the Moon of a 100-kg astronaut with a 50-kg spacesuits and backpack, relative to his or her weight on Earth.
A newly discovered planet, Eagal, has two known moons, Dorainn and Bron. The table below
gives some of the known information about Dorainn and Bron.
Dorainn
Bron
Mass
1.427 x 1015 kg
1.427 x 1015 kg
Radius
6.142 km
Orbital Period
1.091 x 105 s
Orbital Radius
23,640 km
27,650 km
a. Determine the gravitational field strength at the surface of Dorainn.
b. Using only the information provided for each moon and proportionality, determine
Bron's orbital period. Clearly show or explain all workings.
c. Use the data provided for Dorainn to determine the mass of Eagal.
d. Determine the orbital speed of Bron.
Chapter 7 Solutions
Loose Leaf For Explorations: Introduction To Astronomy
Ch. 7 - Describe a crater and how it is formed. Why do...Ch. 7 - How do the maria differ from the highlands?Ch. 7 - Prob. 3QFRCh. 7 - What formed the maria? Why are they smooth?Ch. 7 - Prob. 5QFRCh. 7 - Prob. 6QFRCh. 7 - Why does the Moon lack an atmosphere?Ch. 7 - Prob. 8QFRCh. 7 - How do astronomers think the Moon formed? What...Ch. 7 - Why is the Moons surface heavily cratered but...
Ch. 7 - Prob. 11QFRCh. 7 - Prob. 12QFRCh. 7 - Prob. 13QFRCh. 7 - Highway surfaces develop potholes over time. How...Ch. 7 - Bergmanns rule states that individuals of a given...Ch. 7 - Prob. 3TQCh. 7 - Why will an astronauts footprint on the Moon last...Ch. 7 - Prob. 5TQCh. 7 - Prob. 6TQCh. 7 - If the day were 12 hours long, what would be the...Ch. 7 - Prob. 8TQCh. 7 - Why do tides happen about an hour later each day?Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 1TYCh. 7 - Prob. 2TYCh. 7 - Prob. 3TYCh. 7 - Prob. 4TYCh. 7 - Prob. 5TYCh. 7 - Prob. 6TY
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- A)At what altitude would a geostationary sattelite need to be above the surface of Mars? Assume the mass of Mars is 6.39 x 1023 kg, the length of a martian solar day is 24 hours 39minutes 35seconds, the length of the sidereal day is 24hours 37minutes 22seconds, and the equatorial radius is 3396 km. The answer can be calculated using Newton's verison of Kepler's third law.arrow_forwardCalculate the weight of a 75.6 kg astronaut on the surface of Mars at the equator. See p. 273 of your textbook for Mars' mass and equatorial radius. 75 Clu m Uarrow_forwardQuestion 3. Astronomers are consistently finding new moons of Jupiter, both big and small. Suppose astronomers discovered a new moon called Yelruh that orbits a distance of 5.63x108 m from the surface of Jupiter. Using the information for another moon of Jupiter, calculate Yelruh's orbital period.arrow_forward
- The Moon's mass is 1/80 that of Earth, and the lunar radius is 1/4 Earth's radius. Based on these figures, calculate the total weight on the Moon of a 100-kg astronaut with a 50-kg space- suit and backpack, relative to his or her weight on Earth.arrow_forwardIf the satellite was placed in an orbit three times farther away, about how long would it take to orbit the Earth once? Answer in days, rounding to one significant figure.days Mars rotates on its axis once every 1.02 days (almost the same as Earth does). (a) Find the distance from Mars at which a satellite would remain in one spot over the Martian surface. (Use 6.42 1023 kg for the mass of Mars.)m(b) Find the speed of the satellite.m/sarrow_forwardCalculate the density of the moon by assuming it to be a sphere of diameter 3475 km and having a mass of 7.35 × 1022 kg. Express your answer in g/cm3.arrow_forward
- A total solar eclipse occurs when the Moon moves between the Earth and the Sun and completely blocks out the Sun. This phenomenon is very spectacular and attracts people from all cultures. However, total solar eclipses can also take place on other planets of the Solar System. Determine for each of the following moons if they can create a total solar eclipse on their planet. Moon Radius Distance to Planet Planet Distance to the Sun Phobos 11 km Callisto 2410 km 9376 km Mars 228 x 10° km 1.883 x 10° km Jupiter 779 x 10° km 1433 x 10° km 2875 x 10° km Titan 2574 km 1.222 x 106 km Saturn Oberon 761 km 0.584 x 10° km Uranus Note: The radius of the Sun is 696 x 10° km.arrow_forwardOne of the two moons of mars has a period of 7 hr 39 min and radius 9400 km. Calculate the mass of mars.arrow_forwardTo model a moon in the solar system, consider a sphere with radius R and uniform mass density p. Let gm = the acceleration due to gravity on the surface of the sphere. Calculate gm for these values of R and p: R = 2.0×106 m; p= 2.7x103 kg/m^3; (in m/s^2) OA: OB: 1.509 2.007 OC: 2.669 OD: 3.549 OE: OF: 4.721 6.279 OG: 8.351 OH: 1.111x101arrow_forward
- A comet has a period of 76.3 years and moves in an elliptical orbit in which its perihelion (Closest approach to the Sun) is 0.610 AU. Find (a) the semimajor axis of the comet and (b) an estimate of the comets maximum distance from the Sun, both in astronomical units.arrow_forwardThe day on Mars is 1.026 Earth-days long. The martian year lasts 686.98 Earth-days. The two moons of Mars take 0.32 Earth-day (for Phobos) and 1.26 Earth-days (for Deimos) to circle the planet. You are given the task of coming up with a martian calendar for a new Mars colony. Would a solar or lunar calendar be better for tracking the seasons?arrow_forwardSummarize the four main hypotheses for the origin of the Moon.arrow_forward
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