Question

A pump ie required to lift $600kg$ of water per minute from a wall $25m$ deep and to eject it with a speed of $50m{s}^{-1}$. Calculate the power required to perform the above task?

Answer 1

Given that,

Mass of the object $M=600kg\setminus min$

Time taken $1min=60s$

Height $h=25m$

Velocity $50m/s$

Now, the potential energy

$P.E=mgh$

$P.E=600\times 10\times 25$

$P.E=150000J$

The kinetic energy

$K.E=\frac{1}{2}m{v}^2$

$K.E=\frac{1}{2}\times 600\times 50\times 50$

$K.E=750000J$

Now, the power is

$P=\frac{T.E}{t}$

$P=\frac{900000}{60}$

$P=15000W$

Hence, the power is $15000W$