Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A trough has a trapazoidal cross section with a height of 5 m and horizontal sid

ID: 2289137 • Letter: A

Question

A trough has a trapazoidal cross section with a height of 5 m and horizontal sides of width 2.5 m and 5m. Assume the length tof the trough is 13 m.

A trough has a trapazoidal cross section with a height of 5 m and horizontal sides of width 2.5 m and 5m. Assume the length tof the trough is 13 m. A trough has a trapezoidal cross section with a height of 5 m and horizontal sides of width 2-1/2 m and 5 m. Assume the length of the trough is 13 m. See the figure to the right. Complete parts a. and b. below. a. how much work is required to pump the water out of the trough (to the level of the top of the trough) when it is full? Use 1000 kg/m^3 for the density of water and 9.8 m/s^2 for the acceleration due to gravity. J (Type a whole number. Round to the nearest joule as needed.)

Explanation / Answer

Volume of water inside this = Base area x Height

            Base is trapezoid = 0.5 (2.5 + 5) * 5 = 18.75 m2

          Height = 13 m

Volume = 13 * 18.75 = 243.75 m3

Total mass of water = desity * volume = 2.4375 x 105 kg

Work done to pump out the water = change in potential energy of system of water

Work = mg(H2 - H1)

H2 = initial position of centre of mass from ground

H1 = final position of centre of mass from ground

here H2 = 2.78 m (from bottom)       (For trapezoid we have to memorize it)

          H1 = 0

Work = 2.4375 x 105 * 9.8 * (2.78 - 0) = 6.64 x 106 J

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote