Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 8, Problem 36QAP
To determine
The density of the Saturn and the reason why Saturn cannot float in water despite of its less density.
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Tutorial
Based on the orbital properties of Uranus, how far across the sky in arc seconds does it travel in one Earth
day? The average orbital radius is 2.88 x 109 km and the period is 84.0 years. (Assume Uranus and the Earth
are at the closest point to one another in their orbits.)
How many full Moons does this distance cover if the Moon has an angular diameter of 0.5 degrees?
Part 1 of 4
We first need to determine how fast the planet is moving across the sky. If we know the period and the
distance between the Sun and the planet we can calculate the velocity using:
2ar
which will tell us how many kilometers the planet travels in a day if we convert the period into days.
days
= (P
years'
|days/year
Pdays
days
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Saturn is the most oblate planet in the solar system. Why is Saturn so oblate and what does this tell you about Saturn’s interior?
GM
What is the orbital velocity and period of a ring particle at the outer edge of Saturn's A ring? (Note: The radius of the edge of the A ring is 136,500 km. Hint: Use the formula for orbital velocity, V. = v
orbital velocity
km/s
period
hr
Chapter 8 Solutions
Understanding Our Universe
Ch. 8.1 - Prob. 8.1CYUCh. 8.2 - Prob. 8.2CYUCh. 8.3 - Prob. 8.3CYUCh. 8.4 - Prob. 8.4CYUCh. 8.5 - Prob. 8.5CYUCh. 8 - Prob. 1QAPCh. 8 - Prob. 2QAPCh. 8 - Prob. 3QAPCh. 8 - Prob. 4QAPCh. 8 - Prob. 5QAP
Ch. 8 - Prob. 6QAPCh. 8 - Prob. 7QAPCh. 8 - Prob. 8QAPCh. 8 - Prob. 9QAPCh. 8 - Prob. 10QAPCh. 8 - Prob. 11QAPCh. 8 - Prob. 12QAPCh. 8 - Prob. 13QAPCh. 8 - Prob. 14QAPCh. 8 - Prob. 15QAPCh. 8 - Prob. 16QAPCh. 8 - Prob. 17QAPCh. 8 - Prob. 18QAPCh. 8 - Prob. 19QAPCh. 8 - Prob. 20QAPCh. 8 - Prob. 21QAPCh. 8 - Prob. 22QAPCh. 8 - Prob. 23QAPCh. 8 - Prob. 24QAPCh. 8 - Prob. 25QAPCh. 8 - Prob. 26QAPCh. 8 - Prob. 27QAPCh. 8 - Prob. 28QAPCh. 8 - Prob. 29QAPCh. 8 - Prob. 30QAPCh. 8 - Prob. 31QAPCh. 8 - Prob. 32QAPCh. 8 - Prob. 33QAPCh. 8 - Prob. 34QAPCh. 8 - Prob. 35QAPCh. 8 - Prob. 36QAPCh. 8 - Prob. 37QAPCh. 8 - Prob. 38QAPCh. 8 - Prob. 39QAPCh. 8 - Prob. 40QAPCh. 8 - Prob. 41QAPCh. 8 - Prob. 42QAPCh. 8 - Prob. 43QAPCh. 8 - Prob. 44QAPCh. 8 - Prob. 45QAP
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- What is the orbital velocity and period of a ring particle at the outer edge of Saturns A ring? (Hint: Use the formula for circular velocity, Eq. 5-1a. The formula requires input quantities in kg and m.) (Note: The radius of the outer edge of the A ring is 136,500 km.)arrow_forwardDoes Uranus have enough mass to have formed by gravitational collapse? How do you know?arrow_forwardI would like you to compare the thickness of Saturn's rings to objects here on Earth if those rings were scaled down to the size of the objects here on Earth (hint: this means it is a ratio problem). Imagine the rings of Saturn like a DVD or CD here on Earth. The DVD has a diameter of approximately 12 cm, whereas the rings of Saturn have a diameter of approximately 280,000 km. The thickness of a DVD is about 0.6 mm and the thickness of the rings of Saturn at their thickest is approximately 1 km. If we were to scale the diameter of rings of Saturn down to the diameter of a DVD, how does the new thickness of the rings of Saturn compare to the thickness of the DVD? Please provide both the new thickness of Saturn's rings and how many times thicker or thinner they would be than a CD in your answer.arrow_forward
- The total mass of material in Saturn’s rings is about 1015 tons (1018 kg). Suppose theaverage ring particle is 6 cm in radius and has a density of 1000 kg/m3. How many ringparticles are there?arrow_forwardCompare Titan to Rhea. Estimate the strength of surface gravity on Titan compared to the gravity on Titan. How does this affect the possibility of an atmosphere on each? Use g=GM/R2 Titan Radius: 2,575 km, Mass: 2.31 x 1021 kg Rhea Radius: 764 km, Mass: 1.35 x 1023 kgarrow_forwardMission to Titan: Titan is the largest of Saturn’s moons and the only moon in the Solar System that possesses a dense atmosphere and large liquid bodies (seas or lakes) at its surface. For these and other reasons, many exobiologists think that Titan is the most likely place in the Solar System beside Earth where life might exist. NASA is considering sending a 600 kg space probe into orbit around Titan in order to map its surface. This would be followed a few years later by a 320 kg robotic lander that would land on the surface of Titan in order to look for life. a) What would be the space probe’s velocity and orbital period if the probe were to orbit at an altitude of 70 km above the surface of Titan? b) What force would the lander’s thrusters need to produce in order to allow the lander to hover just above the surface of Titan.arrow_forward
- A classmate claims that if Jupiter’s Galilean moons were all the same distance from Jupiter, they would all experience the same amount of gravitational force. Using what you have learned and the evidence from the data table how would you respond to his claim? (a) His claim is incorrect; if the moons were at an equal distance from Jupiter; then the pull of gravity would be the strongest on Ganymede because it has the greatest mass (b) his claim is incorrect; if the moon were at an equal distance from Jupiter; then the pull of gravity would be the strongest on Europa; because it has the smallest mass (c) his claim is incorrect; if the moon were at an equal distance from Jupiter; then the pull of gravity from Jupiter would be experienced equally by all four moons. (d) his claim is incorrect; if the moon were at an equal distance from Jupiter; then the pull of gravity would be the strongest on Ganymede because it is the largest moonarrow_forwardWhat is the orbital velocity and period (in hr)of a ring particle at the outer edge of Saturn's A ring? Note: The radius of the edge of the A ring is 136,500 km. Hint:Use the formula for orbital velocity,arrow_forwardIf you took all the matter in Saturn’s rings and packed it into a sphere withan average density of 1.2 g/cm3, what would the radius of the sphere be? How does thatcompare to the radius of Mimas, for example? How about the case of Uranus: what wouldthe radius of the sphere composed of all ring mass be? (Again use a density of 1.2 g/cm3) According to Wikipedia, the lower estimate for the mass of Saturn’s rings is 3 × 1019 kgand the mass of Uranus’s rings is ∼ 2 × 1016 kg.arrow_forward
- What is the orbital speed, in kilometers per second, of ring particles at the inner edge of Saturn's B ring?arrow_forwardIn 2015, researchers concluded that Enceladus's subsurface ocean is probably global, instead of just being restricted to the south polar region. What had the Cassini spacecraft found, that led them to their conclusion? a Enceladus wobbles slightly as it orbits Saturn, more so than it could if its ice shell were mostly frozen to the rocky interior. b Enceladus is absorbing so much water (which is ejected by Saturn from its atmosphere) that there must be a global ocean under its icy surface. c The number of large, lava-spewing volcanoes on Enceladus's surface is so high that they can only be the result of liquid water under the whole surface. d The magnetic field of Enceladus is so strong that it can only be explained by a global ocean of salty water under the surface.arrow_forwardCalculate the escape velocity to an orbit of 243 km height from a planet with the radius of 2000 km and the density of 3400 kg m-³. Give your answer in Sl units. Answer: Choose...arrow_forward
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