An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of 2 m/s. The mass per unit length of water in the pipe is 100 kg/m. What is the power of the engine?

Question

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of 2 m/s. The mass per unit length of water in the pipe is 100 kg/m. What is the power of the engine? (A) 400 W (B) 200 W (C) 100 W (D) 800 W

Tardigrade Admin · Accepted Answer

Here, Mass per unit length of water, μ=100 kg / m Velocity of water, v=2 m / s Power of the engine, P=μ v3 =(100 kg / m )(2 m / s )3 =800 W

Q. An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of $2 m / s$ . The mass per unit length of water in the pipe is $100 k g / m$ . What is the power of the engine?

400 W

200 W

100 W

800 W

Here,
Mass per unit length of water, $μ = 100 k g / m$
Velocity of water, $v = 2 m / s$
Power of the engine, $P = μ v^{3}$
$= (100 k g / m) (2 m / s)^{3}$
$= 800 W$

Q. An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of 2m/s. The mass per unit length of water in the pipe is 100kg/m. What is the power of the engine?