PTYS206-2 Spring 2008 Homework #5 Due 27 March 2008 1) Jupiter’s rotation axis is tilted by 3 degrees relative to its orbital plane, while Saturn’s is tilted by 27 degrees. Would you expect stronger seasonal variations on Saturn or Jupiter? Why? 2) Show with algebra that if G is measured in cm3 s-2 gm-1, R is measured in centimeters, and M in grams, then the units of escape velocity calculated from RGMVesc2= are centimeters/sec.3) The mass of Pluto is 1.3x1022 kg, and its radius is 1195 km. What is the escape velocity on Pluto? Express your result in scientific notation with 2 significant figures. Be careful with the units. 4) What if Eratosthenes discovered that his student lied and, instead of walking all the way from Alexandria to Syene, he actually rode half the distance in the Ox cart of a particularly attractive Egyptian peasant? Thus, the true distance from Alexandria to Syene is actually twice what he reported or 10,000 stades. How big does that make the Earth?5) An unnamed politician once argued that society should not worry about the greenhouse effect and global warming because it had not yet been proven true. From a scientific perspective, what is wrong with this
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