Solved: Between the orbits of Mars and Jupiter, several

Chapter , Problem 78

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Between the orbits of Mars and Jupiter, several thousandsmall objects called asteroids move in nearly circular orbitsaround the Sun. Consider an asteroid that is sphericallyshaped with radius r and density 2700 kg/m3, (a) You findyourself on the surface of this asteroid and throw a baseball ata speed of 22 m/s (about 50 mi/h). If the baseball is to travelaround the asteroid in a circular orbit, what is the largestradius asteroid on which you are capable of accomplishingthis feat? (b) After you throw the baseball, you turn aroundand face the opposite direction and catch the baseball. Howmuch time T elapses between your throw and your catch?

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