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Questions  

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

a
work done against upthrust exerted by the water
b
work done against upthrust plus loss of gravitational potential energy of the block
c
work done against upthrust minus loss of gravitational potential energy of the block
d
none of the above

detailed solution

Correct option is C

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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Similar Questions

Consider the following statements.
(A) A thin stainless steel needle can lay floating on a still water surface. 
(B) Any object floats when the buoyancy force balances the weight of the object. 

Select the correct option.
(a) (A) is false, But (B) is true.
(b) Both (A) and (B) are true.
(c) (A) is true, But (B) is false.
(d) Both (A) and (B) are false.


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