Puck a, of inertia m, is attached to one end of a string of length ℓ , and the other end of the string is attached to a pivot so that the puck is free to revolve on a smooth horizontal surface. puck b, of inertia 16m, is attached to one end of a string of length ℓ/2, and the other end of the string is attached to a second pivot so that b is also free to revolve. in each case, the puck is held as far as possible from the pivot so that the string is taut and then given an initial velocity v⃗ perpendicular to the string. a. how does the magnitude of the angular momentum of puck a about its pivot compare with that of puck b about its pivot?
b. how does the rotational kinetic energy of a compare with that of b?

at positions a, g kinetic energy is maximum.

at position d, potential energy is maximum.

igneous rocks also form where plates converge. the subducting plate melts as it sinks into the crust of the earth, and the melt rises into the overriding plate forming volcanoes. metamorphic rocks are formed mainly in the lithosphere, wherever there is high pressure and high temperature. -woods

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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