Complete question :
A pump is required to lift a mass of 790 of water per minute from a well of depth 13.2 and eject it with a speed of 17.4 .
A) How much work is done per minute in lifting the water?
B) How much in giving the water the kinetic energy it has when ejected?
Answer:
102194.4 Joules ;
119590.2 Joules ;
1703.24 J/s
Step-by-step explanation:
Given that :
Mass, m of water = 790 kg
Depth of well, d = 13.2
Speed, V = 17.4 m/s
The workdone, W is given by :
W = Force * distance
Force = mass * acceleration due to gravity, g
Hence,
W = 790kg * 9.8m/s * 13.2m = 102194.4 Joules
The Kinetic energy :
K. E = 0.5mv²
K.E = 0.5 * 790 * 17.4²
K.E = 119590.2 Joules