how do you get the answer to this? 4 Water in a small dam situated on a mountain
ID: 1398967 • Letter: H
Question
how do you get the answer to this?
4 Water in a small dam situated on a mountain is used for hydroelectric power generation. The position vector of the reservoir (top surface of water near the wall of the dam where the shutters are placed) with respect to the power house can be approximately given as r=-600 mi+ 500 m j + 500 m k. If water flows at a rate of 50 liters per second (1000 liter 1 m) through the pipe from the reservoir to the turbine, what is the maximum power that can be generated by the turbine (density of water 1000 kg/m)? UJ A. 392 kW B. 268 k W C. 14700 kW D. 245 k W E. 25 kW rnExplanation / Answer
given volume flow rate = V/t = 50 liters per second 50*10^-3 m^3/s
height of the dam = 500 m
density = d = 1000 kg / m^3
initial potential energu PE = m*g*h
m = mass = density * volume
PE = d*v*g*h
power = energy / time
P = d*v*g*h/t
P = d*(v/t)*g*h
P = 1000*50*10^-3*9.8*500
p = 245 kW <<<<----------answer
OPTION D
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