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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? [2010]
- a)400 W
- b)200 W
- c)100 W
- d)800 W
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
An engine pumps water through a hose pipe.Water passes through the pip...
Given:
Velocity of water, v = 2 m/s
Mass per unit length of water, m = 100 kg/m
To find:
Power of the engine
Formula used:
Power = Force × Velocity
Force = mass × acceleration = mass × change in velocity / time
Change in velocity = final velocity - initial velocity = v - 0 = v
Time taken to move out of the pipe, t = length of the pipe / velocity of water
Let the length of the pipe be L.
Therefore, t = L / v
Force = m × v / t = m × v² / L
Power = Force × Velocity = m × v² / L × v = m × v² / L
Substituting the given values, we get:
Power = 100 kg/m × (2 m/s)² / L = 400 W
Therefore, the power of the engine is 400 W.
Velocity of water, v = 2 m/s
Mass per unit length of water, m = 100 kg/m
To find:
Power of the engine
Formula used:
Power = Force × Velocity
Force = mass × acceleration = mass × change in velocity / time
Change in velocity = final velocity - initial velocity = v - 0 = v
Time taken to move out of the pipe, t = length of the pipe / velocity of water
Let the length of the pipe be L.
Therefore, t = L / v
Force = m × v / t = m × v² / L
Power = Force × Velocity = m × v² / L × v = m × v² / L
Substituting the given values, we get:
Power = 100 kg/m × (2 m/s)² / L = 400 W
Therefore, the power of the engine is 400 W.
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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? [2010]a)400 Wb)200 Wc)100 Wd)800 WCorrect answer is option 'D'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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? [2010]a)400 Wb)200 Wc)100 Wd)800 WCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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? [2010]a)400 Wb)200 Wc)100 Wd)800 WCorrect answer is option 'D'. Can you explain this answer?.
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? [2010]a)400 Wb)200 Wc)100 Wd)800 WCorrect answer is option 'D'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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? [2010]a)400 Wb)200 Wc)100 Wd)800 WCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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? [2010]a)400 Wb)200 Wc)100 Wd)800 WCorrect answer is option 'D'. Can you explain this answer?.
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