1.) Titan, the largest moon of Saturn, has a mean orbital radius of 1.22x10° m. The orbital period of Titan is 15.95 days. Hyperion, another moon of Saturn, orbits at a mean radius of 1.48x10" m. Use Kepler's third law of planetary motion to predict the orbital period of Hyperion in days.

1.) Titan, the largest moon of Saturn, has a mean orbital radius of 1.22x10° m. The orbital period of Titan is 15.95 days. Hyperion, another moon of Saturn, orbits at a mean radius of 1.48x10" m. Use Kepler's third law of planetary motion to predict the orbital period of Hyperion in days.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 18PQ

See similar textbooks

Related questions

Q: A 21.0 kg satellite has a circular orbit with a period of 3.90 h and a radius of 8.90 × 106 m around…

Q: 6) In the effort to discover exoplanets a planet around another star was discovered that has a…

A: Given: The mass of the sun is 2x1030 kg. The period of the planet is 320 days.

Q: 2) If an object weighs 2500N on earth, what is the weight of the object on a planet - the mass of…

A: Given data: The weight of object on the Earth is WE=2500 N. The mass of planet is m=0.5mE. The…

Q: 3) The mass of the moon and earth is 7.4 x 1022 kg and 5.98 × 1024kg respectively. The earth-moon…

Q: 7. Kepler's Third Law relates the period (P) it takes a planet to go around the Sun in an orbit of a…

A: On the basis of eccentricity, we can compare the period values. As can be seen in the diagram, the…

Q: 1. Compute for the value of the acceleration due to gravity g of an object at an altitude equal to…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5. The mass of the Hubble Space Telescope is 11.6 x 10° g. The mass of the earth is 5.98 × 10²4 kg…

Q: 3. Determine the orbital speed of the Earth. (_/1)

Q: How does the orbital period of a planet change if the radius of its orbit is oubled? * a. Increases…

A: According to Kepler’s law of periods, the square of the time period of revolution of a planet around…

Q: Given: The earth’s gravitational constant is 6.674x10-11 m3/Kgs2 Required: Convert the…

A: Since we only answer up to three sub-parts, we will answer the first three. Please resubmit the…

Q: 3) The Circumference of a circle equals: A) the arc length or distance traveled if you were to make…

A: The circumference of circle is the length of total boundary of circle . fig -1 shows the circle…

Q: 5. A celestial body has a diameter of approximately 15,200km. Determine the velocity of escape of…

A: Given data: Diameter of celestial body is, d=15,200 km=1.52×107 m. Acceleration due to gravity on…

Q: 2. Suppose a small planet is discovered that is 14 times as far from the sun as the Earth's distance…

A: Distance of sun from planet: R =14×(distance of sun from earth) Distance of sun from Earth: re = 1.5…

Q: Suppose a planet is discovered that has the same amount of mass in a given volume as the Earth, but…

A: Suppose a planet is discovered that has the same amount of mass in a given volume as the Earth, but…

Q: Problem 6: A meteoroid is moving towards a planet. It has mass m = 0.86x10° kg and speed v = 1.1x107…

Q: 1. The gravitational force between two spherical masses is ?!. Which of the following would increase…

A: Gravitational force is the general force of attraction acting between all matter. Gravitational…

Q: 4) The average orbital distance of a planet is 4 times the average orbital distance of the Earth.…

A: Average orbital distance of Earth = rE = r Average orbital distance of planet = rP = 4r Period of…

Q: it of the moon about the earth is approximately circular, with a mean radius of 3.84 x 10% m. It…

A: Given- Radius of orbit of moon (R) = 3.84 x 108 m Time to complete an orbit (t) = 27.3 days Now we…

Q: 1. Compute for the value of the acceleration due to gravity of an object at an altitude equal to…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: (II) Determine the mass of the Earth from the knownperiod and distance of the Moon.

Q: 47. Two identical planets are orbiting the sun. The mean radius of the orbit of the second planet is…

A: 47. The mean radius of the the orbit of the second planet is 4 times the mean radius of the orbit of…

Q: 6.) A new Earth size planet has been discovered in a distant star system. The planet has six times…

A: The radius and the mass of the new planet in term of the radius and mass of the earth are:

Q: Find the radius R of the orbit of a geosynchronous satellite that circles the earth. (Note that R…

A: Given The mass of the earth is me=5.98×1024 kg. The universal gravitational constant is…

Q: (II) Our Sun revolves about the center of our Galaxy (mg - 4 × 1041 kg) at a distance of about 3 ×…

A: Given The mass of the galaxy is mG = 4 x 1041 kg. The distance between the galaxy and sun is d =3 x…

Q: 7) Assume that we have a distant Star-Planet system with no other planets and the Star is the same…

A: in the given star- planet system planet's orbit is circular orbit distant star-planet system is…

Q: The weight of a person on the earth is 80 kg. What will be his weight on the moon ? Mass of the moon…

Q: 1. Assume that Earth's orbit around the sun is circular, and that the radius of Earth's orbit is…

Q: What is the period T of a planet which radius is as twice as of Earth when it completes one…

Q: A satellite circles the earth in an orbit whose radius is 3.26 times the earth's radius. The earth's…

Q: Physics An intergalactic spaceship arrives at a distant planet that rotates on its axis with a…

Q: 2. The mean distance between the earth and the sun is 1.5 x 1011m. The mean distance between the sun…

A: Mean distance between the sun and the earth Re=1.5*1101 km and mean distance b/w the sun and Venus…

Q: 2. The mean distance between the earth and the sun is 1.5 x 1011m. The mean distance between the sun…

Q: 3. Calculate the force of gravity on a 70 kg person at the surface of the earth and at a distance of…

Q: A rocket is designed to be launched to space with an acceleration defined by the equation given…

Q: 1. The mean distance between the Earth and Sun is R1=1.5 X 1011 m.The mean distance between the Sun…

A: Given: The mean distance between the Earth and Sun is R1=1.5×1011 m. The mean distance between the…

Q: 3. The Moon has a period of 27.3 days and a mean distance of 3.90×105 km from the center of Earth.…

Q: 1. A satellite launch is made for the study of Mars. Determine its velocity so that it will orbit…

Q: A satellite is launched to orbit the Earth at an altitude of 1.40x107 m for use in the Global…

A: h =1.4 × 107 m M = 5.97 × 1024 kg R = 6.38 × 106 m

Q: 1. The earth has a mass of 5.97219 x 1024 kilograms and a radius of 3958.8 mi. If you have a mass of…

Q: 1. An asteroid circles the Sun at a distance equal to 50 times the Earth's distance from the Sun.…

Q: Explain and analyse the simiilarities and difference between circular motion and planetary motion.

Q: The time separating high tides is 12 hours and 25 minutes. If high tide occurs at 3:10 p.m. one…

Q: <Homework 11 Exercise 13.19 - Enhanced - with Feedback A planet orbiting a distant star has radius…

A: The acceleration due to gravity at the surface of the planet can be determined as, Here, G, M and R…

Question

4G
8:50 0.50
O• Y 40 52% 40
KB/s
1.) Titan, the largest moon of Saturn, has a mean orbital radius of 1.22x10° m. The orbital period
of Titan is 15.95 days. Hyperion, another moon of Saturn, orbits at a mean radius of 1.48x10° m.
Use Kepler's third law of planetary motion to predict the orbital period of Hyperion in days.
()
II

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

(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.
For many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?
Planetary orbits are often approximated as uniform circular motion. Figure P7.9 is a scaled representation of a planets orbit with a semimajor axis of 1.524 AU. a. Use Figure P7.9 to find the ratio of the Suns maximum gravitational field to its minimum gravitational field on the planets orbit. b. What is the ratio of the planets maximum speed to its minimum speed? c. Comment on the validity of approximating this orbit as uniform circular motion.
Assuming a circular orbit for the Sun about the center of the Milky Way Galaxy, calculate its orbital speed using the following information: The mass of the galaxy is equivalent to a single mass 1.51011times that of the Sun (or 31014kg ), located 30,000ly away.
An object of mass m is located on the surface of a spherical planet of mass M and radius R. The escape speed from the planet does not depend on which of the following? (a) M (b) m (c) the density of the planet (d) R (e) the acceleration due to gravity on that planet
Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter. (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2
Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0104 light-years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way.
If a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.
The astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 600 km above the Earth’s surface, where the free-fall acceleration is 8.21 m/s2. Take the radius of the Earth as 6 400 km. Determine the speed of the satellite and the time interval required to complete one orbit around the Earth, which is the period of the satellite. Figure P3.27
Two black holes (the remains of exploded stars), separated by a distance of 10.0 AU (1 AU = 1.50 1011 m), attract one another with a gravitational force of 8.90 1025 N. The combined mass of the two black holes is 4.00 1030 kg. What is the mass of each black hole?
Respond to each statement, true or false: (a) No force of gravity acts on an astronaut in an orbiting space station. (b) At three Earth radii from the center of Earth, the acceleration of gravity is one-ninth its surface value. (c) If two identical planets, each with surface gravity g and volume V, coalesce into one planet with volume 2V, the surface gravity of the new planet is 2g. (d) One kilogram of gold would have greater value on Earth than on the Moon.
A planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) four times as large (b) twice as large (c) the same (d) half as large (e) one-fourth as large as the gravitational force exerted by the planet on Moon 1.