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in 1 minute a mass of 9000kg of water flows through the turbines the speed of the water is 30m/s calculate the total kinetic energy of the water passing through the turbines in 1 minute give your answer in kj

in 1 minute a mass of 9000kg of water flows through the turbines the speed of the water is 30ms calculate the total kinetic energy of the water passing through class=


Answer :

Answer:

4050 kJ

Step-by-step explanation:

Kinetic Energy

Kinetic energy measures the amount of energy an object has due to motion, it can be calculated using the equation

                                             [tex]KE=\dfrac{1}{2}mv^2[/tex],

where m is the object's mass (kg), v is its travel velocity and KE is measured in joules (J).

[tex]\hrulefill[/tex]

Solving the Problem

Using that equation we can look back at the word problem to see if we're given clues to the values of 'm' and 'v'.

From the problem, we're told

  • a mass of 9000kg of water is flowing
  • the water travels at 30 m/s.

All we have to do is plug the values in to get our final answer.

(Note: 1 kJ = 1000 J)

         

          [tex]KE=\dfrac{1}{2}mv^2 = \dfrac{1}{2}(9000)(30)^2=4050000J=\boxed{4050kJ}[/tex]

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