Question

a pump of 200w power is lifting 2 kg of water from an average depth of 10 metres per second. velocity of water delivered by the pump is?

Answer 1

Answer:The answer is 2m/s

Explanation:

Answer 2

Given that,

Power = 200 W

Mass = 2 kg

Average depth = 10 m

Time = 1 sec

We need to calculate the velocity of water delivered by the pump

Using formula of power

$P=\dfrac{W}{t}$

$P=\dfrac{mgh+\dfrac{1}{2}mv^2}{t}$

Where, m = mass

h = depth

t = time

P = power

Put the value into the formula

$200=\dfrac{2\times9.8\times10+0.5\times2v^2}{1}$

$200=\dfrac{196+v^2}{1}$

$v^2=4$

$v=2\ m/s$

Hence, The velocity of water delivered by the pump is 2 m/s