Question

15. [0/1 Points) DETAILS PREVIOUS ANSWERS ROGACALCET4 6.5.020. MY NOTES PRACTICE ANOTHER Calculate the work in joules) required to pump all of the water out of a full tank. Assume a = 14 m, b = 7 m, water exits through the spout <= 1 m, and the density of water is 1,000 kg/m². (Assume that acceleration due to gravity is g = 9.8 m/s2. Round your answer to two decimal places.) 2.76 X * 107) a

Answer 1

A = 14 m, b=1m , Calm, P=1000 kg /m3 9 - 9.8 m/s? 1-2 A 4 15-4 14+1 115 ky- Р 14 m q Ч work done = Force x distance. . Force density x gravity x volume = C1000)(918) volume force. =(9800) x volume. work - (9800) x volume x distance. consider, a small slice of thickness Ay al a distance of 4. Then work done to move the slice to the top u slice (9800) ( volume of a slice) x distance, =9800 (Uslice) (15-4) 14 Slice. w ง Slice w

Now volume of slice Area x thickness V slice Arxay From the similar kecingles, o MBC and Drac, => 1 AB AC PO PC 7 14 4 9 y -Y y 2 "slice AY DY 4 *Q) 44 [from ® ] slice. . Wslice 9800 (a my) 15-4) [From O - 2450 Ky²by (15-4) Wslie = 2450 T y’ € 15-4) sy W = ( 2450 n ý us-y dy { from 2] 24501) (154² y dy 14 O 14 0 14 = 2450T 3 4 = 24506 [ 561439-61434_01 224501 [13720 - 9604) = 2450 * ( 4116] 31680444 8.637 :: W=13:17 x 107 J