SATHEE: Work Energy and Power - Result Question 39

Work Energy and Power - Result Question 39

42. 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?

(a) $400 W$

(b) $200 W$

(d) $800 W$

[2010]

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Answer:

Correct Answer: 42. (d)

Solution:

(d) Amount of water flowing per second from the pipe

$= \frac{m}{time} = \frac{m}{ℓ} \cdot \frac{ℓ}{t} = (\frac{m}{ℓ}) v$

Power $=$ K.E. of water flowing per second

$= \frac{1}{2} (\frac{m}{ℓ}) v \cdot v^{2}$

$= \frac{1}{2} (\frac{m}{ℓ}) v^{3}$

$= \frac{1}{2} \times 100 \times 8 = 400 W$

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Work Energy and Power - Result Question 39

42. 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?

Answer:

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42. 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?