qz9sol_1243Hs11 - waterline a What is the mass of the water...

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TA: Tomoyuki Nakayama Wednesday, April 6, 2011 PHY 2048: Physic 1, Discussion Section 1243H Quiz 9 (Homework Set #11) Name: UFID: Formula sheets are not allowed. Do not store equations in your calculator. You have to solve problems on your own; memorizing final algebraic expressions from homework assignments and just plugging numbers into them will not give you full credit. Leave all your work. ________________________________________________________________________________ Water is pumped steadily out of a flooded basement at a speed of 5.00 m/s through a uniform hose of diameter 2.00 cm. The hose passes out through a window to a street ditch 3.00 m above the
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Unformatted text preview: waterline. a) What is the mass of the water pumped out of the basement in one second? During time interval Δ t, the mass of the water pumped out of the basement is Δ m = ρΔ V = ρπ (d/2) 2 v Δ t Therefore, the mass of the water pumped out in one second is Δ m/ Δ t = ρπ (d/2) 2 v = 1.57 kg/s b) What is the power of the pump? The work-energy theorem yields W = Δ E = Δ K + Δ U = (1/2) Δ mv 2 + Δ mgh, where W is the work done by the pump. Since the power of the pump is defined as the work done by the pump in one second, we have P = W/ Δ t = (1/2)( Δ m/ Δ t)v 2 + ( Δ m/ Δ t)gh = 65.8 W...
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