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A vessel containing water is kept on a weighing machine. The machine registers a weight of 100 N. A wooden block having cubical shape and edge length 10 cm is gently put in water. Water does not spill out of the vessel. Now it observed that the weighing machine registers a weight of 106 N. Calculate the depth to which the block will submerge in water. Density of water is 1 g/cc.

A vessel containing water is kept on a weighing machine. The
machine registers a weight of 100 N. A wooden block having cubical
shape and edge length 10 cm is gently put in water. Water does not
spill out of the vessel. Now it observed that the weighing machine
registers a weight of 106 N. Calculate the depth to which the block
will submerge in water. Density of water is 1 g/cc.

Grade:10

1 Answers

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
11 years ago

Dear Ajinkya Bhole,

Ans;- As it is clear from the problem that the weight of the block is (106-100) =6N=600 gm.

 it's vol is 10³=1000 cc

Hence the density is =600/1000=0.6 g/cc

Hence the fraction of the vol that will remain inside the water is =(0.6/1)=3/5.

So, the block will submerge upto a depth of 10×(3/5)=6 cm

 

  

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Askiitians Experts
Soumyajit Das IIT Kharagpur

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