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(6) (15 pts) An inverted cone creates the tank pictured below. The tank has a height of 12 meters (m) and a base of 10
(6) (15 pts) An inverted cone creates the tank pictured below. The tank has a height of 12 meters (m) and a base of 10 m. The tank starts with a depth of 9 m of water. Set up, but. do NOT evaluate, the integral needed to determine the work W required to pump water over the edge until the height of the water remaining is 1 m. Assume the gravitational constant 9 = 9.8 m/s2 and water density p = 1000 icy/ma. (7) (10 pts) Given the following point masses and their position in the plane, calculate the center of mass. ) m1 = 2 at (1,2) It? '7- W m2=1at(0,5) 1+\\+'3 2 '1 + 5- '\\ =3 t1,-3 mg a( A)\\ 5
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