University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 13, Problem 13.16E
To determine
The maximum height of the ejected material on earth, if it were ejected with the same speed as on Io.
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Jupiter's moon Io 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. Io has a mass of 8.93×1022kg8.93×1022kg and a radius of 1821 km.
How high would this material go on earth if it were ejected with the same speed as on Io? (RE = 6370 km, mE=5.96×1024kg)
Jupiter's moon Io 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. Io has a mass of 8.93×1022kg and a radius of 1821 km
How high would this material go on earth if it were ejected with the same speed as on Io? (REarth = 6370 km, mEartg=5.96×1024kg)
NOTE: Your answer suggests that you have assumed constant gravitational acceleration over the whole height of the ejected debris. Note that the gravitational field changes quite significantly over this height.
Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 kmkm (or even higher) above the surface. Io has a mass of 8.93×10^22kg and a radius of 1821 km.
How high would this material go on earth if it were ejected with the same speed as on Io? (RE = 6370 km, m_E=5.96×10^24kg)
Express your answer with the appropriate units.
Chapter 13 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 13.1 - The planet Saturn has about 100 times the mass of...Ch. 13.2 - Rank the following hypothetical planets in order...Ch. 13.3 - Prob. 13.3TYUCh. 13.4 - Prob. 13.4TYUCh. 13.5 - The orbit of Comet X has a semi-major axis that is...Ch. 13.6 - In the classic 1913 science-fiction novel At the...Ch. 13.7 - Imagine a planet that has the same mass and radius...Ch. 13.8 - If the sun somehow collapsed to form a black hole,...Ch. 13 - A student wrote: The only reason an apple falls...Ch. 13 - If all planets had the same average density, how...
Ch. 13 - Is a pound of butler on the earth the same amount...Ch. 13 - Example 13.2 (Section 13.1) shows that the...Ch. 13 - When will you attract the sun more: today at noon,...Ch. 13 - Since the moon is constantly attracted toward the...Ch. 13 - Prob. 13.7DQCh. 13 - A planet makes a circular orbit with period T...Ch. 13 - The sun pulls on the moon with a force that is...Ch. 13 - Which takes more fuel: a voyage from the earth to...Ch. 13 - Prob. 13.11DQCh. 13 - Does the escape speed for an object at the earths...Ch. 13 - If a projectile is fired straight up from the...Ch. 13 - Discuss whether this statement is correct: In the...Ch. 13 - The earth is closer to the sun in November than in...Ch. 13 - A communications firm wants to place a satellite...Ch. 13 - Prob. 13.17DQCh. 13 - What would Keplers third law be for circular...Ch. 13 - In the elliptical orbit of Comet Hailey shown in...Ch. 13 - Many people believe that orbiting astronauts feel...Ch. 13 - As part of their training before going into orbit,...Ch. 13 - What is the ratio of the gravitational pull of the...Ch. 13 - CP Cavendish Experiment. In the Cavendish balance...Ch. 13 - Rendezvous in Space! A couple of astronauts agree...Ch. 13 - Two uniform spheres, each with mass M and radius...Ch. 13 - Two uniform spheres, each of mass 0.260 kg, are...Ch. 13 - Find the magnitude and direction of the net...Ch. 13 - A typical adult human has a mass of about 70 kg....Ch. 13 - An 8.00-kg point mass and a 12.0-kg point mass are...Ch. 13 - Prob. 13.9ECh. 13 - The point masses m and 2m lie along the x-axis,...Ch. 13 - At what distance above the surface of the earth is...Ch. 13 - The mass of Venus is 81.5% that of the earth, and...Ch. 13 - Titania, the largest moon of the planet Uranus,...Ch. 13 - Rhea, one of Saturns moons, has a radius of 764 km...Ch. 13 - Calculate the earths gravity force on a 75-kg...Ch. 13 - Prob. 13.16ECh. 13 - Use the results of Example 13.5 (Section 13.3) to...Ch. 13 - Ten days after it was launched toward Mars in...Ch. 13 - A planet orbiting a distant star has radius 3.24 ...Ch. 13 - Prob. 13.20ECh. 13 - Prob. 13.21ECh. 13 - Aura Mission. On July 15, 2004, NASA launched the...Ch. 13 - Two satellites are in circular orbits around a...Ch. 13 - International Space Station. In its orbit each...Ch. 13 - Prob. 13.25ECh. 13 - Prob. 13.26ECh. 13 - The star Rho1 Cancri is 57 light-years from the...Ch. 13 - In March 2006. two small satellites were...Ch. 13 - The dwarf planet Pluto has an elliptical orbit...Ch. 13 - Hot Jupiters. In 2004 astronomers reported the...Ch. 13 - Planets Beyond the Solar System. On October 15,...Ch. 13 - A uniform, spherical, 1000.0-kg shell has a radius...Ch. 13 - A uniform, solid, 1000.0-kg sphere has a radius of...Ch. 13 - CALC A thin, uniform rod has length L and mass M....Ch. 13 - Prob. 13.35ECh. 13 - A Visit to Santa. You decide to visit Santa Claus...Ch. 13 - The acceleration due to gravity at the north pole...Ch. 13 - Mini Black Holes. Cosmologists have speculated...Ch. 13 - Prob. 13.39ECh. 13 - In 2005 astronomers announced the discovery of a...Ch. 13 - Neutron stars, such as the one at the center of...Ch. 13 - Four identical masses of 8.00 kg each are placed...Ch. 13 - Three uniform spheres are fixed at the positions...Ch. 13 - CP Exploring Europa. There is strong evidence that...Ch. 13 - A uniform sphere with mass 50.0 kg is held with...Ch. 13 - Mission to Titan. On December 25, 2004, the...Ch. 13 - Prob. 13.47PCh. 13 - At a certain instant, the earth, the moon, and a...Ch. 13 - Prob. 13.49PCh. 13 - CP Submarines on Europa. Some scientists are eager...Ch. 13 - What is the escape speed from a 300-km-diameter...Ch. 13 - A landing craft with mass 12,500 kg is in a...Ch. 13 - Planet X rotates in the same manner as the earth,...Ch. 13 - (a) Suppose you are at the earths equator and...Ch. 13 - CP An astronaut, whose mission is to go where no...Ch. 13 - CP Your starship, the Aimless Wanderer, lands on...Ch. 13 - CP You are exploring a distant planet. When your...Ch. 13 - The 0.100-kg sphere in Fig. P13.58 is released...Ch. 13 - An unmanned spacecraft is in a circular orbit...Ch. 13 - Mass of a Comet. On July 4, 2005, the NASA...Ch. 13 - Falling Hammer. A hammer with mass m is dropped...Ch. 13 - Prob. 13.62PCh. 13 - Prob. 13.63PCh. 13 - Prob. 13.64PCh. 13 - Prob. 13.65PCh. 13 - The planet Uranus has a radius of 25,360 km and a...Ch. 13 - Prob. 13.67PCh. 13 - A rocket with mass 5.00 103 kg is in a circular...Ch. 13 - A 5000-kg spacecraft is in a circular orbit 2000...Ch. 13 - Prob. 13.70PCh. 13 - CALC Planets are not uniform inside. Normally,...Ch. 13 - One of the brightest comets of the 20th century...Ch. 13 - CALC An object in the shape of a thin ring has...Ch. 13 - CALC A uniform wire with mass M and length L is...Ch. 13 - Prob. 13.75PCh. 13 - DATA For each of the eight planets Mercury to...Ch. 13 - DATA For a spherical planet with mass M, volume V,...Ch. 13 - DATA For a planet in our solar system, assume that...Ch. 13 - Interplanetary Navigation. The most efficient way...Ch. 13 - CP Tidal Forces near a Black Hole. An astronaut...Ch. 13 - CALC Mass M is distributed uniformly over a disk...Ch. 13 - EXOPLANETS. As planets with a wide variety of...Ch. 13 - EXOPLANETS. As planets with a wide variety of...Ch. 13 - EXOPLANETS. As planets with a wide variety of...
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