Zorch, an archenemy of superman, decides to slow earth’s rotation to once per 29.5 h by exerting a force parallel to the equator, opposing the rotation. he uses an old saturn v rocket, stolen from nasa, which was originally used to send astronauts to the moon. this rocket can exert a thrust of f = 3.8x10^7 n
a) if the original angular velocity of earth is w0 and zorch is trying to get the earth to an angular velocity of we, how much time will it take him? use m and r for the mass and radius of the earth. (b) how long, in seconds, will it take him to do this? (notice that this period gives superman time to devote to thwarting other villains.)

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

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