asailesh2002
contestada

If a person’s body has a density of 995 kg/m³, what fraction of the body will be submerged when floating gently in 

(a) freshwater? 
(b) In salt water with a density of 1027 kg/m³?

Respuesta :

Part a)

When body is partially submerged in fresh water then net force due to buoyancy must be counterbalanced by weight.

[tex]F_b = F_w[/tex]

[tex]\rho_w V_s g = \rho_b V_T g[/tex]

[tex]1000* V_s = 995 * V_T[/tex]

[tex]\frac{V_s}{V_T} = 0.995[/tex]

Part b)

When body is partially submerged in salt water then net force due to buoyancy must be counterbalanced by weight.

[tex]F_b = F_w[/tex]

[tex]\rho_w V_s g = \rho_b V_T g[/tex]

[tex]1027* V_s = 995 * V_T[/tex]

[tex]\frac{V_s}{V_T} = 0.969[/tex]

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