A block of wood of weight 200gf has volume of 300cm^3 such that it is floating on water.Calculate the upthrust due to water and and volume of water displaced by the block.Please tell me about the unit gf

Asked by Raminder Singh | 21st Feb, 2014, 05:23: PM

Expert Answer:

The unit of weight is newton. It is also expressed in kgf (kilogram force)
 
One kgf is the force on 1 kg mass under the influence of acceleration due to gravity g.
 
1 kgf = 9.8 N
 
Now, weight of block of wood is 200 gf = 0.2 kgf = 0.2 × 9.8 = 1.96 N
 
Since the block is floating on water, its weight is balanced by the upthrust due to water.
 
Upthrust due to water = 1.96 N.
 
Now, upthrust due to water is equal to the weight of water displaced.
 
Thus, we have
 
Weight of water = 1.96
 
Volume of water displaced × density of water × g = 1.96
 
Volume of water displaced × 1000 kg/m3 × g = 1.96
 
Volume of water displaced = 1.96/ (1000 × 9.8) = 2 × 10-4 m3 = 2 × 10-4 × 1000 litres = 0.2 litres

Answered by  | 6th Mar, 2014, 10:28: AM

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