It is proposed to dispose of nuclear wastes in drums with weight W=640 lbs and volume 8ft^3 by droping them into the ocean v0=0. the force equation of a drum falling in the water is m(dv/dt)=-W+B+Fr where the buoyant foce B is equal to the weight (at 6.25 lb/ft^3) of the volume of water displaced by the drum and Fr is the force of water resistance found empiraclly to be 1 lb for each foot per second of the velocity of a drum. If the drums are likely to burst upon impact of more than 75 ft/s what is the maximum depth to which they can be dropped in the ocean without likelihood of bursting?

Question