21ST CENT.AST.W/WKBK+SMARTWORK >BI<
21ST CENT.AST.W/WKBK+SMARTWORK >BI<
6th Edition
ISBN: 9780309341523
Author: Kay
Publisher: NORTON
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Chapter 11, Problem 40QP
To determine

The orbital time period of the outer edge of the Saturn’s Ring A.

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10 Jup Europa Figure I Ganymede
While looking through the Mt. Palomar telescope, you discover a large planetary object orbited by a single moon. The moon orbits the planet every 7.35 hours with the centers of the two objects separated by a distance roughly 2.25 times the radius of the planet. Fellow scientists speculate that the planet is made of mostly iron. In fact, the media has dubbed it the ''Iron Planet'' and NASA has even named it Planet Hephaestus after the Greek god of iron. But you have your doubts. Assuming the planet is spherical and the orbit circular, calculate the density of Planet Hephaestus.
Io orbits Jupiter at an average distance of 4.22 105 km with an orbital period of 0.00485 yr. The Moon, which is one of the satellites of the Earth, orbits its parent at an average distance of 3.84 105 km with an orbital period of 0.07481 yr. (a) Use the above information to find the orbital speeds of Io around Jupiter and of the Moon around the Earth. vMoon = m/s vIo = m/s (b) What is the expression for the mass M of the parent in terms of the orbital speed v of the satellite, the orbital radius R of the satellite and the gravitational constant G? (Do not substitute numerical values; use variables only.)M =  (c) Now use your answers from parts (a) and (b) to find the ratio of the mass of the Earth to that of Jupiter.   ME MJ
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