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A certain man has a mass of 83.0 kg and a density of 996 kg/m3 (excluding the air in his lungs). (a) Calculate his volume (in m3). m3 (b) Find the buoyant force (in N) air exerts on him. N (c) What is the ratio of the buoyant force to his weight

Respuesta :

Answer:

Explanation:

Given

Mass of man [tex]m=83 kg[/tex]

density [tex]\rho =996 kg/m^3[/tex]

volume [tex]V=\frac{m}{\rho }[/tex]

[tex]V=\frac{83}{996}=0.0833 m^3[/tex]

(b)Buoyant Force by Air

[tex]\rho _{air}=1.29 kg/m^3[/tex]

[tex]F_b=\rho _{air}Vg[/tex]

[tex]F_b=1.29\times 0.0833\times 9.8[/tex]

[tex]F_b=1.053 N[/tex]

(c)Ratio of the buoyant Force to his weight

[tex]=\frac{F_b}{Weight}[/tex]

Weight=mg

[tex]weight=83\times 9.8=813.4 N[/tex]

[tex]Ratio=\frac{1.053}{813.4}=0.00129[/tex]