Question

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 1

Power, P = 96 kW

Step-by-step 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,

`P=(\Delta K)/(t)\\\\P=(mv^2)/(2t)\\\\P=(8000* 12^2)/(2* 6)\\\\P=96000\ W`

or

P = 96 kW

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