Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 12, Problem 9CC
To determine
The fate of the asteroid, if it were to enter the low-Earth orbit inside the Earth’s Roche limit.
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A lot of asteroid and comet dust collides with Earth's atmosphere everyday. Assume that 500 tons of mass is added to Earth daily from the millions of meteors that enter our atmosphere. Estimate the time it would take for the Earth's mass to increase 0.2% with this impact rate. Is this mass accumulation significant to Earth as a planet.
the area in between Mars' and Jupiter's orbit to be ~1.6e18 km2. Since there are roughly 750,000 asteroids, how much area (in km2) is available for one asteroid? Use this calculation to argue whether you are likely (or not) to hit an asteroid while flying through the asteroid belt.
(Hint: To answer the first part of the question, find the area per asteroid)
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Chapter 12 Solutions
Universe
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Ch. 12 - Prob. 11CCCh. 12 - Prob. 1QCh. 12 - Prob. 2QCh. 12 - Prob. 3QCh. 12 - Prob. 4QCh. 12 - Prob. 5QCh. 12 - Prob. 6QCh. 12 - Prob. 7QCh. 12 - Prob. 8QCh. 12 - Prob. 9QCh. 12 - Prob. 10QCh. 12 - Prob. 11QCh. 12 - Prob. 12QCh. 12 - Prob. 13QCh. 12 - Prob. 14QCh. 12 - Prob. 15QCh. 12 - Prob. 16QCh. 12 - Prob. 17QCh. 12 - Prob. 18QCh. 12 - Prob. 19QCh. 12 - Prob. 20QCh. 12 - Prob. 21QCh. 12 - Prob. 22QCh. 12 - Prob. 23QCh. 12 - Prob. 24QCh. 12 - Prob. 25QCh. 12 - Prob. 26QCh. 12 - Prob. 27QCh. 12 - Prob. 28QCh. 12 - Prob. 29QCh. 12 - Prob. 30QCh. 12 - Prob. 31QCh. 12 - Prob. 33QCh. 12 - Prob. 34QCh. 12 - Prob. 35QCh. 12 - Prob. 36QCh. 12 - Prob. 37QCh. 12 - Prob. 38QCh. 12 - Prob. 39QCh. 12 - Prob. 40QCh. 12 - Prob. 41QCh. 12 - Prob. 42QCh. 12 - Prob. 43QCh. 12 - Prob. 44QCh. 12 - Prob. 45QCh. 12 - Prob. 46QCh. 12 - Prob. 47QCh. 12 - Prob. 48QCh. 12 - Prob. 49QCh. 12 - Prob. 50QCh. 12 - Prob. 51QCh. 12 - Prob. 52QCh. 12 - Prob. 53QCh. 12 - Prob. 54QCh. 12 - Prob. 55QCh. 12 - Prob. 56QCh. 12 - Prob. 57QCh. 12 - Prob. 58QCh. 12 - Prob. 59Q
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- What is understood to be the cause of gaps in ring systems?arrow_forwardExplain why the planet Venus is differentiated, but asteroid Fraknoi, a very boring and small member of the asteroid belt, is not.arrow_forward4) Science fiction movies often portray asteroid belts as crowded, dense regions that require spaceships to maneuver quickly to get through them. In this problem, we will calculate the fraction of volume in an asteroid belt that is actually occupied by asteroids. a) If there are 300,000 large asteroids between 2 and 3 AU from the Sun, and each asteroid is assumed to be spherical with a radius of 100 km, determine the total volume occupied by asteroids in this region. Recall that the volume of a sphere is given by the equation V = 4TR³ /3. b) Let's assume the region in which these asteroids orbit is an annulus with an inner radius of 2 AU, an outer radius of 3 AU, and a thickness of 2Ro. Determine the volume of this region. Recall that the area of a circle is given by the equation A = TR². Here are two conversions that you'll need: 1 AU = 1.496 × 108 km and 1 Ro = 6.955 × 105 km. c) What is the ratio of the volume occupied by asteroids to the volume of the asteroid belt (i.e., the…arrow_forward
- Calculate 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_forwardWhat ingredients are needed to power a dynamo effect inside a planet?arrow_forwardIf Jupiter had a satellite the size of our own Moon orbiting outside the orbit of Callisto, what would you predict for the satellites density and surface features?arrow_forward
- We believe that chains of comet fragments like Comet Shoemaker-Levy 9’s have collided not only with the jovian planets, but occasionally with their moons. What sort of features would you look for on the outer planet moons to find evidence of such collisions? (As an extra bonus, can you find any images of such features on a moon like Callisto? You can use an online site of planetary images, such as the Planetary Photojournal, at photojournal.jpl.nasa.gov.)arrow_forwardIn the previous lab, we calculated the area in between Mars' and Jupiter's orbit to be ~1.6e18 km2. Since there are roughly 750,000 asteroids, how much area (in km2) is available for one asteroid? Use this calculation to argue whether you are likely (or not) to hit an asteroid while flying through the asteroid belt. (Hint: To answer the first part of the question, find the area per asteroid)arrow_forwardConsider an asteroid that orbits in a relatively circular orbit with a semimajor axis a = 2 au from the Sun. A typical asteroid has an albedo, or reflectivity, A ~ 0.3. At our closest approach to the asteroid, we make a measurement of the flux coming from the asteroid to be F = 3 × 10-15 w m-2. What is the radius of the asteroid in km? Include a labelled diagram along with your calculations.arrow_forward
- The asteroid Hygiea has a mass of 8.67 x 1019 kg and an average radius of about 216 km (2.16 x 102 km). What is its escape velocity (in m/s)? (Hints: Use the formula for escape velocity, 2GM ; remember to convert units to m, kg, and s.) r e m/s Could you jump off the asteroid? Yes No Need Help? Read It Submit Answerarrow_forward(Ch 13 HW Exercise 13.16 - Enhanced - with Feedback Jupiter's moon lo has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. lo has a mass of 8.93 × 1022 kg and a radius of 1821 km Part A How high would this material go on earth if it were ejected with the same speed as on lo? (RE = 6370 km, mg = 5.96 × 1024 kg) Express your answer with the appropriate units. НА h= 6.37.10° m Submit Previous Answers Request Answer ? × Incorrect; Try Again; 2 attempts remaining Provide Feedback 8 of 16 > ■Review | Constants Next >arrow_forwardWhat is the Roche limit, and what does it have to do with planetary rings?arrow_forward
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