UNIVERSE (LOOSELEAF):STARS+GALAXIES
6th Edition
ISBN: 9781319115043
Author: Freedman
Publisher: MAC HIGHER
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Chapter 4, Problem 53Q
To determine
The period of spacecraft Eagle if it orbits 111 km above the surface of the moon.
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Students have asked these similar questions
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.
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.
The Apollo 11 and 12 missions brought back different types of lunar rocks, available to see at the Lunar
Planetary Institute in Clear Lake (see the 'read' link below). If one set of rocks weigh 65 lbs on the moon,
what is their weight on earth? The lunar gravity is 5.30 ft/s2 and earth gravity is 32.2 ft/s².
The mass of the rocks is
slugs (do you know this unit?).
The weight of the rocks on earth is
lbs.
Chapter 4 Solutions
UNIVERSE (LOOSELEAF):STARS+GALAXIES
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 14QCh. 4 - Prob. 15QCh. 4 - Prob. 16QCh. 4 - Prob. 17QCh. 4 - Prob. 18QCh. 4 - Prob. 19QCh. 4 - Prob. 20QCh. 4 - Prob. 21QCh. 4 - Prob. 22QCh. 4 - Prob. 23QCh. 4 - Prob. 24QCh. 4 - Prob. 25QCh. 4 - Prob. 26QCh. 4 - Prob. 27QCh. 4 - Prob. 28QCh. 4 - Prob. 29QCh. 4 - Prob. 30QCh. 4 - Prob. 31QCh. 4 - Prob. 32QCh. 4 - Prob. 33QCh. 4 - Prob. 34QCh. 4 - Prob. 35QCh. 4 - Prob. 36QCh. 4 - Prob. 37QCh. 4 - Prob. 38QCh. 4 - Prob. 39QCh. 4 - Prob. 40QCh. 4 - Prob. 41QCh. 4 - Prob. 42QCh. 4 - Prob. 43QCh. 4 - Prob. 44QCh. 4 - Prob. 45QCh. 4 - Prob. 46QCh. 4 - Prob. 47QCh. 4 - Prob. 48QCh. 4 - Prob. 49QCh. 4 - Prob. 50QCh. 4 - Prob. 51QCh. 4 - Prob. 52QCh. 4 - Prob. 53QCh. 4 - Prob. 54QCh. 4 - Prob. 55QCh. 4 - Prob. 56QCh. 4 - Prob. 57QCh. 4 - Prob. 58Q
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- Comet Halley (Fig. P11.21) approaches the Sun to within 0.570 AU, and its orbital period is 75.6 yr. (AU is the symbol for astronomical unit, where 1 AU = 1.50 1011 m is the mean EarthSun distance.) How far from the Sun will Halleys comet travel before it starts its return journey?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_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
- 5) These moons are known as the Galilean moons. (Since that time, 75 additional Jovian moons have been discovered.) The innermost Galilean moon, Io, takes 1.769 days to complete one orbit. The largest Galilean moon, Ganymede, orbits at a distance of 1.07 x 106 km and takes four times as long as Io to orbit Jupiter. (Both orbits can be modeled as circles.) In late 1609 and early 1610, Galileo Galilei discovered four moons orbiting Jupiter. a) What is the radius of Io's orbit? b) How fast is Io moving in its orbit? c) If Jupiter were to somehow collapse into a black hole, what would its Schwarzschild radius be?arrow_forwardCalculate the value of acceleration due to gravity on the surface of moon. Given mass of the moon 7.4 × 10²² kg and its radius is 1740km. ( Hint g=GM/r²)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_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 synchronous satellite, which always remains above the same point on a planet's equator, is put in circular orbit around Mars so that scientists can study a surface feature. Mars rotates once every 24.6 h. Use the data of this table to find the altitude of the satellite. ___Kmarrow_forwardCongratulations! You just derived a version of Kepler's Third Law for Mars! Using the mass of Mars in kilograms and converting the 4.5 hours to seconds, calculate the distance from the center of the planet. GM kg 4π² ]s)² 3 = And then determine the distance (in km) from the surface. r = rm + rs rs km = kmarrow_forward
- On the surface of the Moon an astronaut has a weight of Fg = 190 N. The radius of the Moon is Rm = 1.74 × 106 m, the gravitational constant is G = 6.67 × 10-11 N (m/kg)2 and the mass of the Moon is Mm = 7.35 × 1022 kg. Calculate the mass of the astronaut, m, in kilograms.arrow_forwardThe value of "g" at the surface of Mars is 3.7 N/kg. How much would a 60.0-kg person weigh at an altitude above the Martian surface equivalent to the planet's radius?arrow_forwardA total solar eclipse occurs when the Moon moves between the Earth and the Sun and completelyblocks 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 planetarrow_forward
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