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Physics

Fluid-Mechanics

Easy

Question

A wooden block is floating in a water tank. The block is pressed to its bottom. During the process, work done is equal to:

work done against upthrust exerted by the water
work done against upthrust plus loss of gravitational potential energy of the block
work done against upthust minus loss of gravitational potential energy of the block
none of the above

The correct answer is: work done against upthust minus loss of gravitational potential energy of the block

Initially the wooden block floats when partially immersed in water. Initially, upthrust exerted by water is exactly equal to the weight of the block. But when it is pressed down then more water is displaced. Hence up thrust exerted by water increases. The force required to press down the block is equal to F = upthrust-mg. Hence, work done by the force F will be equal to work against (upthrust - mg). It means, work done by the external force is equal to (work done against upthrust-loss of gravitational potential energy of the block).

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