squids are aquatic creatures that use jet propulsion for motion. Taking up water
ID: 1507288 • Letter: S
Question
squids are aquatic creatures that use jet propulsion for motion. Taking up water in their main cavity they eject it out of a siphon which can be oriented in many different directions. A 20kg squid has a cavity that holds 68 mL of water. When the squid needs to move the cavity volume decreases by 40% and the expelled water allows the squid to attain a maximum velocity of 1.25 m/s. Assume that the squid shoots water out of its siphon at 6.7 g/s at a velocity of 3.8 m/s. What is the magnitude of the external force that would be required to keep the squid from accelerating?
Explanation / Answer
Thrust force , Ft = d p / dt = d ( m v) /dt = v dm/dt
dm/dt = 6.7 kg/s
Ft =6.7 x 3.8 = 25.46 N
Fnet = F + Ft - m g = 0
F = (20 x 9.8) - 25.46 = 170.54 N
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