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Buoyancy and Terminal Velocity

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Archimedes principal of buoancy states that an object submerged in a fluid is buoyed up by a force equal to the weight of the fluid the object displaces.

A rectangular box 1foot X 2 feet X 3 feet and weighing 384 lbs. is dropped into a 100 foot deep freshwater lake (density 62.4 lbs/cubic foot). The box immediately begins to sink. The drag due to the water is 1/2 the velocity.

Calculate the following:
a) the terminal velocity

b) the velocity when the box reaches the bottom.

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Solution Summary

The terminal velocity of a sinking box is calculated.

Solution Preview

The terminal velocity is reached when the total force acting on the box is zero, the acceleration becomes zero and the box ...

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