A lamina occupies the part of the disk x² + y < 16 in the first quadrant and the density at each point is given by the function p(x, y) = 4(x2 + y²). A. What is the total mass? D. Where is the center of mass?
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- An astronaut in her space suit has a total mass of 87.0 kg, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she’s on a spacewalk. Initially at rest with respect to her spacecraft, she throws her 12.0 kg oxygen tank away from her spacecraft with a speed of 8.00 m/s to propel herself back toward it. a.What is her subsequent velocity after she throws her oxygen tank? b.Explain in terms of Newton’s laws of motion why this strategy works?You head to Lake Charles for a spring break and win big at roulette. You decide to spend your winnings on a motorcycle. This 1800 N bike can go from 0 to max speed in 3 seconds.a. If the bike’s change in momentum is 4600 kg m/s, what is the max speed attained? b. What average force does the bike output to attain this change in momentum?%3D %3D A thin rod of total mass M and length L lles on the z axis between (I=0) and (z=L). The mass of the rod is non-uniformly distributed over its length such that the density is given by: 3M Where is the center of mass of the rod? a. ICM = L %3D O b. ICM C. ICM %3D O d. ICM е. ICM
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