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NEET 2009
Exam
NEET
Year
2009
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NEET 2009 · Physics · Center of Mass, Momentum and Collision

An engine pumps water continuously through a hose. Water leaves the...

An engine pumps water continuously through a hose. Water leaves the hose with a velocity yy and mm is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water ?

Options

  1. A12mv3\frac{1}{2} \mathrm{mv}^3
  2. Bmv3\mathrm{mv}^3
  3. C12mv2\frac{1}{2} \mathrm{mv}^2
  4. D12m2v2\frac{1}{2} m^2 v^2

Correct answer

A. 12mv3\frac{1}{2} \mathrm{mv}^3

Step-by-step solution

Velocity of water is vv, mass flowing per unit length is mm. Mass flowing per second (=\mathrm{mv}) (\therefore) Rate of kinetic energy or K.E. per second =1/2(mv)v2=1/2mv3=1 / 2(m v) v^2=1 / 2 m v^3
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