A submerged submarine is normally kept neutrally buoyant, so thatits weight is e

Question

A submerged submarine is normally kept neutrally buoyant, so thatits weight is exactly compensated by the buoyant force. However, inan emergency, ballast tanks (compartments inside the submarinenormally filled with water) can be "blown" clear and the waterreplaced with air. Assume the density of water is 1.0 g/cm3, thesubmarine has volume V= 7.0 x 103 m3, theballast tanks have volume v = 5.0 x 102 m3,and the ballast tanks are completely emptied of water. What willthe submarine's rate of acceleration toward the surface be? Neglectthe weight of air in the ballast tanks and the effect of frictionon the submarine.
A. 9.1 m/s2
B. need to know the mass of the submarine
C. 137.2 m/s2
D. 9.8 m/s2
E. 0.78 m/s2

Explanation / Answer

the upward thrust is proportional to mass removed.. hence accelertion =force/mass=5*102*103*9.8/5*102*103=9.8m/sec2 hence D is correct option.

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