a 10cm x 10 cm x 10 cm block of steel (steel= 7900 kg/m^3) is suspended from a s

Question

a 10cm x 10 cm x 10 cm block of steel (steel= 7900 kg/m^3) is suspended from a spring scale. The scale is in Newtons. a) what is the scale reading if the block is in air? b.) what is the scale reading after the block has been lowered into a beaker of water and is completely submerged? a 10cm x 10 cm x 10 cm block of steel (steel= 7900 kg/m^3) is suspended from a spring scale. The scale is in Newtons. a) what is the scale reading if the block is in air? b.) what is the scale reading after the block has been lowered into a beaker of water and is completely submerged? a 10cm x 10 cm x 10 cm block of steel (steel= 7900 kg/m^3) is suspended from a spring scale. The scale is in Newtons. a) what is the scale reading if the block is in air? b.) what is the scale reading after the block has been lowered into a beaker of water and is completely submerged?

Explanation / Answer

Given,

Density = 7900 kg/m^3

Volume = 10 cm*10 cm*10 cm

            = 1000 cm^3

           = 0.001 m^3.

a)

scale reading when the block is in air

Mass = Volume*Density.
         = (0.001)*7900

         = 7.9 Kg
Weight = m*g

           = 7.9*9.8

            = 77.42 N

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b)

scale reading after the block has been lowered into a beaker of water and is completely submerged

Mass =Volume*(weight in air-weight of water displaced)

       = 0.001*(7900-900)

      = 0.001*7000

     = 7 Kg

Weight = m*g

            = 7 *9.8

            = 68.6 N.

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