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)
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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
15*1000/ρb = 3
1/ρb = 3/(15*1000)
1/ρb = 1/5000
ρb = 5000 kg/m³
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