What is the potential energy contained in the water in a lake that has a surface area of 15 square kilometers (km^2), an average depth of 10 meters (m), and an elevation of 100 m above the hydroelectric power plant? Water has a density of (p) 1000 kg/m^3?
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Answer:
1.47*10^10J
Explanation:
Given,
g=9.8kgm/s^2
Density(p) =1000kg/m^3
Areea(A)=15km^2
=15*10^6m^2
Height of liquid column(h) =10m
Mass of the liquid(m) =p*A*h
=1000*15*10^6^10
=15*10^10kg
Potential energy=m*g*h
=15*10^10*9.8*10^2
=147*10^12
=1.47*10^10J
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