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Tamsen and Vera imagine visiting another planet, planet X, whose gravitational acceleration, gx, is different from that of Earth's. They envision a pendulum, whose period on Earth is 2.243 s, that is set in motion on planet X, and the period is measured to be 1.430 s. What is the ratio of gx/9Earth? Neglect any effects caused by air resistance. 9x 9E If the average density of planet X is equal to Earth's average density, PE, what is the ratio of Rx/RE, where RE is the mean radius of Earth? (Assume both planets are spherical. Recall that p = m/V and Vsphere 4 -лr³.) 3 Rx RE = = =
The efficiency of the Otto cycle is given by e = 1 - 1 where the ratio of larger volume to smaller volume, V₁/V2, is the compression ratio, and where y is the ratio of molar specific heats of the gas-air mixture, y = Cp/Cv. Recall that the work done by the engine is given by Weng = elQnl. (V₁/V/₂)²-1/ Each cylinder in an automobile engine has a minimum volume of 55.0 cm³, and a maximum volume of 275 cm³ when the piston is fully down. The gas-air mixture in the engine has y = 1.40, and combustion of the fuel releases 1.25 x 108 J per gallon. Assume an automobile engine operates with an idealized Otto cycle. What is the efficiency? How much work can the engine do using a gallon of gasoline? J Submit Skip (you cannot come back)