In late 1609 and early 1610, Galileo Galilei discovered four moons orbiting Jupiter. 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.) 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?

In late 1609 and early 1610, Galileo Galilei discovered four moons orbiting Jupiter. 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.) 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?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter7: Gravitation

Section: Chapter Questions

Problem 5STP

See similar textbooks

Similar questions

You are participating in a NASA traineeship, working with a group planning a new landing on Mars. Your supervisor has come up with an idea for putting a synchronous satellite over the landing spot near the Martian equator, so that radio communication between Earth and the lander is improved. She asks you to report to her on the required height above the Martian surface of a synchronous satellite. Note: The rotation period of Mars is 1.026 d. (Enter your answer in m.)
On December 25, 2004, the Huygens probe separated from the Cassini spacecraft orbiting Saturn and began a 22 day journey to Saturn’s moon Titan, on whose surface it landed. Besides the data in Appendix F, it is useful to know that Titan is 1.22 * 10^6 km from the center of Saturn and has a mass of 1.35 * 10^23 kg and a diameter of 5150 km. At what distance from Titan should the gravitational pull of Titan the gravitational pull of Saturn?
Comet Halley orbits the Sun with a period of 76 years and in 1986, had a distance of closest approach to the Sun, its perihelion distanc Rp, of 8.9x1010 m. a) What is the comet's farthest distance from the Sun, which is called its aphelion distance Ra? b) What is the eccentricity of the orbit of comet Halley?
Europa, one of the moons of Jupiter, was discovered by Galileo in 1610. Europa has a circular orbit of radius 6.708 10^5 km and period 3.551 days. Find the mass of Jupiter.
(I) Use Kepler’s laws and the period of the Moon (27.4 d)to determine the period of an artificial satellite orbitingvery near the Earth’s surface.
The Moon has a period of 27.3 days and a mean distance of 3.9x105 km from its center to the center of Earth. a)Use Kepler's laws to find the period of a satellite in orbit 6.70x 10 km from the center of Earth. b) How far above Earth's surface is this satellite?
Scientists have discovered a distant planet with a mass of 6.0x1023 kg. The planet has a small moon that orbits with a period of 5 hours and 40 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).
What is the orbital period of a satellite orbiting just above the surface of the asteroid in Problem 11?
Io, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of 4.22 105 km. From these data, determine the mass of Jupiter.
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?
Which major planet has the largest . . . A. semimajor axis? B. average orbital speed around the Sun? C. orbital period around the Sun? D. eccentricity?
Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility that there is life on one or more of these planets. To support life similar to that on the Earth, the planet must have liquid water. For an Earth-like planet orbiting a star like the Sun, this requirement means that the planet must be within a habitable zone of 0.9 AU to 1.4 AU from the star. The semimajor axis of an extrasolar planet is inferred from its period. What range in periods corresponds to the habitable zone for an Earth-like Planet orbiting a Sun-like star?