During a coast guard stop, a 2m x 3m x 1m box with a mass of 1,400Kg has been di

Question

During a coast guard stop, a 2m x 3m x 1m box with a mass of 1,400Kg has been ditched from a boat in Lake Michigan and sinks to a depth of 200m. (Assume density of the water is consistent.)

(a) Divers trying to recover the cargo attach a 50kg bladder (Assume that the mass includes the ropes and that the bladder is a sphere. Ignore the volume of the ropes) to the box and float it to the surface. What is the size of the bladder when it is inflated?

(b) The box can stand 20atm before it crushes. Does the box and contents survive on the lake floor?

Explanation / Answer

box is floating

mg = buyont force

mg = rho*v*g

v = m/rho = 1.4 m^3

part b )

P = rho*g*h

P = 1000*9.8 * 200

P =1960000 Pa

20 atm = 2026000

yes box and conatin survive

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