A turntable has a radius of R = 1.3 m and a moment of inertia of 2.0 kg · m^2. The turntable is rotating with an angular velocity of w = 1.4 rad/s about a vertical axis though its center on frictionless bearings. A small ball with mass m = 0.50 kg is projected horizontally toward the turntable axis with a velocity of 3.7 m/s. The ball is caught by a very small and very light cup-shaped mechanism on the rim of the turntable (see figure). Find the percent of the kinetic energy of the system that is lost during the capture of the ball.

the total distance traveled by the car is

30km + 49km = 79 km .

myth. it was once thought that animals, including cats and dogs, could only see in black and white. however, scientists have proven this to be a myth. in all animals, including humans, the perception of colour is determined by the presence of cells in the eye called cone photoreceptors.

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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