Answer:
(a) 86.65 J
(b) 149.65 J
Solution:
As per the question:
Diameter of the pool, d = 12 m
⇒ Radius of the pool, r = 6 m
Height of the pool, H = 3 m
Depth of the pool, D = 2.5 m
Density of water,
Acceleration due to gravity, g =
Now,
(a) Work done in pumping all the water:
Average height of the pool, h =
h =
Volume of water in the pool, V =
Mass of water,
Work done is given by the potential energy of the water as:
(b) Work done to pump all the water through an outlet of 2 m:
Now,
Height, h = 2.75 + 2 = 4.75
Work done,
