Squids and octopuses propel themselves by expelling water. They do this by keepi

Question

Squids and octopuses propel themselves by expelling water. They do this by keeping water in a cavity and then suddenly contracting the cavity to force out the water through an opening. A 7.00 kg squid (including the water in the cavity} at rest suddenly sees a dangerous predator. If the squid has 1.85 kg of water in its cavity, at what speed must it expel this water to instantaneously achieve a speed of 2.60 m/s to escape the predator? Neglect any drag effects of the surrounding water. How much kinetic energy does the squid create by this maneuver?

Explanation / Answer

Here ,

mass of squid with water, m = 7 Kg

part A)

let the speed of water expelled is v

Using conservation of momentum

(7 - 1.85) * (2.60) = v * (1.85)

solving for v

v = 7.24 m/s

the speed of water expelled is 7.24 m/s

part B)

kinetic energy created = 0.5 * (7 - 1.85) * 2.6^2 + 0.5 * 1.85 * 7.24^2

kinetic energy created = 70.7 J

the kinetic energy created is 70.7 J

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