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

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?

102194.4 Joules ;

119590.2 Joules ;

1703.24 J/s

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

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