Question

Any lake in Texas is fine

Instructions Calculate the stored potential Energy of a dammed lake near you. Use google to find the dam's height and the stored amount of water. Show all your work including: • physical facts about the lake you use for the calculation • the physics formula you use for the calculation • the math • final sentence with an answer Tips: • One liter of water has the mass of 1.00 kg. To calculate the potential energy of water use E=mgy, with y as the height of the center of mass of the lake above the bottom of the dam. To simplify the calculation we pretend the average height is exactly in the middle between the bottom of the lake and the lakes surface. Sometimes "acre-foot" is used as a unit for volume. You can use google to convert it to liters. Additional resources for assignment Model Anal TAF

Answer 1

Barker Dam is a rolled earthen embankment of 71,900 feet long with a maximum height of 36.5 feet above the streambed.The top of the dam has a maximum elevation of 112.5 feet (34.3 m) above the N.G.V.D. and is 36 feet high in places. The maximum storage capacity of the reservoir is 209,000 acre feet

m = 209000 acre feet

m = 2.6 * 10 ^11 litre = 2.6 * 10 ^11 kg

y = 11.13 m

g = 9.8 m/s^2

E = mgy

E = (2.6 * 10 ^ 11) * 9.8 * 11.13

E = 283 * 10^11 J