Fish Swimming with Quadratic Drag · CAP 2010 #Q18

Physics · mechanics

Problem

A fish swimming in water with constant velocity v0v_0 experiences a viscous drag force that is proportional to the square of its velocity (i.e. Fdrag∝v2F_{drag} ∝ v²). If the fish doubles its velocity, then the thrust force F that it must generate to maintain this new velocity is related to the fish's original thrust force F0F_0 via a) F=2F0F =2F_0; b) F=2F0F = \sqrt{2}F_0; c) F=4F0F =4F_0; d) F=F02F =F_0^2; e) None of the above.

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