a) In 2006, NASAs Mars Odyssey orbiter detected violent gas eruptions on Mars, w
ID: 1285931 • Letter: A
Question
a) In 2006, NASAs Mars Odyssey orbiter detected violent gas eruptions on Mars, where the acceleration due to gravity is 3.7 m/s2. The jets throw sand and dust about 67.00 m above the surface. What is the speed of the material just as it leaves the surface?
b) Scientists estimate that the jets originate as high-pressure gas speeds through vents just underground at about 42.00 m/s. How much energy per kilogram of material is lost due to nonconservative forces as the high-speed matter forces its way to the surface and into the air?
Explanation / Answer
a) v^2 = u^2 + 2as
0^2 = u^2 + 2(-3.7)(63)
u = 21.6 m/s
b)
KE = 1/2mv^2
KE = 1/2m(21.6 - 42)^2
KE/m(energy per kilogram) = 1/2(21.6 - 42)^2 = 208.25
Energy per kilogram lost = 208.25 J/kg
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