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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 v and m is the mass per unit length of the water jet. What is the rate which kinetic energy is imparted to water ?

Options

  1. A1 2 m^2 v^2
  2. B1 2 mv ^3
  3. Cmv ^3
  4. D1 2 mv ^2

Correct answer

B. 1 2 mv ^3

Step-by-step solution

mv = dm du du dt = dm dt = Rate of flowing mass aligned & F _ av = dm dt v 2 = ( mv ) v 2 = mv ^2 2 & p = dK dt = mv ^2 2 v = mv ^3 3 aligned

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