Question

These problems are written so that atmospheric buoyancy can (and should) be neglected. 1 Rock the boat (a) Imagine a box of total height H, density p, and horizontal area A. If it is upright but depth D of it is submerged under water of density P, what is the net force on it? (b) If ρ < ρυ, it'll float. At what depth Do will it reach equilibrium? (c) Define y = Do-D to be how far above equilibriurn the box currently is. Show that Fnet =-ky for (d) Hey that's Hooke's law! So the box wll bob sinusoidally like a spring. What's the period of this (e) Barges are roughly box-shaped. If you see one going down the Mississippi and it's bobbing once every some constant k, and identify k in terms of the givens (and perhaps g) harmonic motion Write it in terms of just Do and g. 3.1 s, how far below the waterline can you concludet extends?

Answer 1

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