1.

calculate the density of a body which weighs 15 Newton in air and 12 Newton in water (density of water is equal to 1000kg/m³)

Answer»

  • Apparent weight of BODY = w = 12 N

  • Weight in air = mg = 15 N

  • Buoyancy Force = Fb

  • { Vb = volume of body, ρb = DENSITY of body, ρw = density of water}

  • We know that:

  • Fb = mg - w

  • Fb = 15 - 12 = 3 N

  • Vb*ρw*g = 3

  • Vb*ρw*g*ρb/ρb = 3

  • Vbρb*g*ρw/ρb = 3

  • mg*ρw/ρb = 3

  • 1/ρb = 3/(15*1000)

  • 1/ρb = 1/5000

  • ρb = 5000 kg/m³


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