Question

2. (-/2 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following figure. h (a) The tank shown is full of water. Given that the water has a density of 1000 kg/m3, find the work required to pump the water out of the spout. (Assume r = 3 m and h = 1 m. Use 9.8 m/s2 for g.) J (b) What if the tank is half full of oil that has a density of 900 kg/m3? Need Help? Read It Talk to a Tutor Submit Answer

Answer 1

@ given density (P) - 1000 kg 1m3 Radius of sphere 3 m, height of spout (h) = 1 m. on mle. g (V) 놀 Volume at sphere T23 T13) 36 T mass of water in sphere -- (m) - PV m = (36T). 1000 kg 360oO T LY 3 6ooo T x 9.8 weight of water amg weight = 352.800 T pump the water the cough the work reavived to F. de bio spout work (= (weight). (h) (= (352 800 ) ) This much Joules - 352 800 T work reavired.

oil density (P) = 900 kg/m² oil filled to half level only. Sila volume of tank Volume of oil 3 3 18T mass of oil (m)= P. v m = 900 x 18T 16200 T kg - weight of oil weight loom.gtspion weight = 162.00 IT x 98 weight = 158760 T Tv work required to pump the water out of spout is w = (weight) = (de) 008 (158760 260) ( hr) Ly Haff is or emply = (158 760T) (1+ 3)

work = 635040 Joules oil water is filled thal Note my assumption is to half of tank and remaining half is empty. water the water, must travel this TO pomp empty space and sport distance.