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NEET2009PhysicsCenter of Mass, Momentum and CollisionActual

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

Options

  1. A1 2 mv ^3
  2. Bmv ^3
  3. C1 2 mv ^2
  4. D1 2 m^2 v^2

Correct answer

A. 1 2 mv ^3

Step-by-step solution

Velocity of water is (v ), mass flowing per unit length is (m ). Mass flowing per second (= mv ) ( ) Rate of kinetic energy or K.E. per second (=1 / 2(m v) v^2=1 / 2 m v^3 )

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