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Can cubic block be placed in tank of water in such a way that there is no upward thrust on the block?


Yes, this situation can be made possible if there is no contact between the block and the tank so that no water gets in between them. No water under the piece of bloack implies that there is no upward thrust on the block. 
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A hollow piece of metal floats in water with 80% of its volume inside the water. Find the percentage of volume submerged when the same is taken on the moon.

(The acceleration due to gravity on moon is one-sixth the acceleration due to gravity on the earth).

The fractional volume of body submerged in water depends only on the relative density of floating body and is independent of acceleration due to gravity.

Therefore, the percentage of volume submerged is the same when taken on the moon. 

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Why hydrogen filled balloon rises up and a C02 filled balloon falls down?

Hydrogen gas is lighter than air therefore, the weight of air displaced by hydrogen balloon is greater than the weight of hydrogen. Therefore, the buoyant force on the hydrogen balloon is greater than its weight and hence rises up. But CO2 is heavier than air thus, the buoyant force on CO2 balloon is less than its weight and hence it falls down. 
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Two pieces of equal masses of lead and copper are immersed in liquid. Which will weigh more?

Density of copper is less than that of lead so, for the same mass copper occupies more volume than lead and hence, copper will experience more buoyant force than lead. Thus, copper will weigh less in liquid than lead. 
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What is the fractional volume submerged of an ice cube in the pail of water placed in an enclosure which is falling freely under gravity?

A system is in a state of weightlessness, when the system is falling freely. So, weight of the ice cube as well as  upward thrust would be zero if the object is falling freely. So, ice cube floats with any volume submerged.


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