Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 15, Problem 21Q
To determine
The scenario that led to formation of Dactyl, which is the moon of asteroid 243 Ida. It is given that the dimensions of Ida, as measured by Galileo, are
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To 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:
1.111x101
A submersible robot is exploring one of the methane seas on Titan, Saturn's largest moon. It discovers a number of small spherical structures on the bottom of the sea at depth of 10 meters [m], and selects one for analysis. The sphere selected has a volume of 1.9 cubic centimeters [cm3] and a density of 2.25 grams per cubic centimeter [g/cm3]. When the rock is returned to Earth for analysis, what is the weight of the sphere in newtons [N]? Gravity on Titan is 1.352 meters per second squared [m/s2]. The density of methane is 0.712 grams per liter [g/L]
The weight of the sphere is ____ N.
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.
Chapter 15 Solutions
Universe
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Ch. 15 - Prob. 1CLCCh. 15 - Prob. 2CLCCh. 15 - Prob. 1QCh. 15 - Prob. 2QCh. 15 - Prob. 3QCh. 15 - Prob. 4QCh. 15 - Prob. 5QCh. 15 - Prob. 6QCh. 15 - Prob. 7QCh. 15 - Prob. 8QCh. 15 - Prob. 9QCh. 15 - Prob. 10QCh. 15 - Prob. 11QCh. 15 - Prob. 12QCh. 15 - Prob. 13QCh. 15 - Prob. 14QCh. 15 - Prob. 15QCh. 15 - Prob. 16QCh. 15 - Prob. 17QCh. 15 - Prob. 18QCh. 15 - Prob. 20QCh. 15 - Prob. 21QCh. 15 - Prob. 22QCh. 15 - Prob. 23QCh. 15 - Prob. 24QCh. 15 - Prob. 25QCh. 15 - Prob. 26QCh. 15 - Prob. 27QCh. 15 - Prob. 28QCh. 15 - Prob. 29QCh. 15 - Prob. 30QCh. 15 - Prob. 31QCh. 15 - Prob. 32QCh. 15 - Prob. 33QCh. 15 - Prob. 34QCh. 15 - Prob. 35QCh. 15 - Prob. 36QCh. 15 - Prob. 37QCh. 15 - Prob. 38QCh. 15 - Prob. 39QCh. 15 - Prob. 40QCh. 15 - Prob. 41QCh. 15 - Prob. 42QCh. 15 - Prob. 43QCh. 15 - Prob. 44QCh. 15 - Prob. 45QCh. 15 - Prob. 46QCh. 15 - Prob. 47QCh. 15 - Prob. 48QCh. 15 - Prob. 49QCh. 15 - Prob. 50QCh. 15 - Prob. 51QCh. 15 - Prob. 52QCh. 15 - Prob. 53QCh. 15 - Prob. 54QCh. 15 - Prob. 55QCh. 15 - Prob. 56QCh. 15 - Prob. 57QCh. 15 - Prob. 58QCh. 15 - Prob. 59QCh. 15 - Prob. 60Q
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- The eccentricity of an asteroid's orbit is 0.0331, and the semimajor axis is 1.61 x 1011 m. The Sun's center is at one focus of the asteroid's orbit. (a) How far from this focus is the other focus in meters? (b) What is the ratio of this distance to the solar radius, 6.96 x 108 m? (a) Number Units (b) Number Unitsarrow_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_forward7. The brightest four moons of Jupiter were discovered by Galileo with one of his earliest telescopes. These moons, lo, Europa, Ganymede, and Callisto, are called the Galilean moons in his honour. Some of the available data about these moons are given below. MOON r (km) V T (earthyears) 0.004837 lo a. Europa Ganymede Callisto 4.219 x 105 6.712 x 105 1.853 x 106 0.0195884 The radii are from the centre of Jupiter to the centre of the moon in question. One earth year has 365 days. Using the data for above, find the mass of Jupiter. Be specific as to which line of data was used and why. Show all work.arrow_forward
- Orbital Radius and orbital period data for the four biggest moons of Jupiter are listed in the table below. The mass of the planet Jupiter is 1.9 × 1027 kg. Jupiter's Moon Period (s) Radius (m) T2/r3 Io 1.53×105 4.2×108 ? Europa 3.07×105 6.7×108 ? Ganymede 6.18×105 1.1×109 ? Callisto 1.44×106 1.9×109 ? What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support?arrow_forwardA 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 9376 km Mars 228 x 106 km Callisto 2410 km 1.883 x 106 km Jupiter 779 x 106 km Titan 2574 km 1.222 x 106 km Saturn 1433 x 106 km Oberon 761 km 0.584 x 106 km Uranus 2875 x 106 km Note: The radius of the Sun is 696 x 103 km.arrow_forwardProblem A.3: Total Solar Eclipse 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. Мoon Radius Distance to Planet Planet Distance to the Sun Phobos 11 km 9376 km Mars 228 x 106 km Callisto 2410 km 1.883 x 106 km Jupiter 779 x 106 km Titan 2574 km 1.222 x 106 km Saturn 1433 x 106 km Oberon 761 km 0.584 x 106 km Uranus 2875 x 106 km Note: The radius of the Sun is 696 × 10³ km.arrow_forward
- (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.arrow_forwardA 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.arrow_forwardGalileo's telescopes were not of high quality by modern standards. He was able to see the moons of Jupiter, but he never reported seeing features on Mars. Use the small-angle formula to find the angular diameter of Mars when it is closest to Earth. How does that compare with the maximum angular diameter of Jupiter? (Assume circular orbits with radii equal to the average distance from the Sun. Using the following distances from the Sun: Mars is 228 million km, Jupiter is 778 million km, and Earth is 150 million km. The radius of Mars is 3396 km. The radius of Jupiter is 71,492 km.) angular diameter of Mars = ( )seconds of arc angular diameter of Jupiter =( )seconds of arc ratio of angular diameters (Jupiter/Mars) = ( )arrow_forward
- (a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)arrow_forwardThe Hope probe on its journey to Mars took a 7-month period, during which it traveled an estimated distance of 493 million kilometers. What was the distance covered during a 7-day period? 61 8:06 AMarrow_forwarda) Calculate the density of the moon by assuming it to be a sphere of diameter 3475 km and having a mass of 7.35 x 10 kg. Express your answer in g/cm². blearrow_forward
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