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Killer whales are known to reach 32 ft in length and have a mass of over 8,000 kg. They are also very quick, able to accelerate up to 30 mi/h in a matter of seconds. Disregarding the considerable drag force of the water, calculate the average power a killer whale named Shamu with mass 8.00 x 103 kg would need to generate to reach a speed of 12 m/s in 6 s

Answer :

Answer:

Power, P = 96 kW

Explanation:

Mass of Shamu, m = 8000 kg

Initial velocity, u = 0

Final velocity, v = 12 m/s

We need to find the average power of the whale. It is equal to the work done per unit time. Work done is equal to the change in kinetic energy. So,

[tex]P=\dfrac{\Delta K}{t}\\\\P=\dfrac{mv^2}{2t}\\\\P=\dfrac{8000\times 12^2}{2\times 6}\\\\P=96000\ W[/tex]

or

P = 96 kW

So, the average power of the killer whale is 96 kW.

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