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Comparing the Effect of Gravity on Two Different Planets
 A person can jump 1.5m on the Earth. How high could the person jump on a planet having the twice the mass of the earth and twice the radius of the earth? Let the mass of the earth be M and the radius of the earth be R. We are using the fact that the height to which the person will be able to jump is inversely proportional to the acceleration due to gravity. This gives us Recall that g is given by So, in this case, we have, for the earth and for the other planet Thus, we can write which, of course, reduces to the satisfyingly simple We therefore conclude that, assuming the person could launch him/her self at the same initial speed she/he would be able to jump twice as high on the other planet... this also assumes that the space-suit doesn't get in the way too much!
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