A certain man has a mass of 67.0 kg and a density of 994 kg/m 3 (exclusive of th

Question

(a) Calculate his volume.
m3
(b) Find the buoyant force air exerts on him.
N
(c) What is the ratio of the buoyant force to his weight?
(buoyant force / weight)

(a) Calculate his volume.
m3
(b) Find the buoyant force air exerts on him.
N
(c) What is the ratio of the buoyant force to his weight?
(buoyant force / weight)

(a) Calculate his volume.
m3
(b) Find the buoyant force air exerts on him.
N
(c) What is the ratio of the buoyant force to his weight?
(buoyant force / weight)

Explanation / Answer

a) Volume = mass/density = 67/994 = 0.0674 m3  

b) Let density of air = 1.225 kg/m3

mass of Person in air = density*Volume = 1.225 *0.0674 = 0.082565 Kg

So, the buoyant force air exerts on him = mass*gravity = 0.082565*9.81 = 0.8099 N

c)   the ratio of the buoyant force to his weight = mass in air/actual mass = 0.082565/67 = 1.2323x10-3

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