The average density of the body of a fish is 1080 kg/m3. To keep from sinking, the fish increases its volumeby inflating an internal air bladder. By what percentage must the fish increase its volume in order to beneutrally buoyant in fresh water? The density of air at room temperature is 1.2 kg/m3.

Question

Carlie Wilkerson

Physics

9 August, 05:57

The average density of the body of a fish is 1080 kg/m3. To keep from sinking, the fish increases its volumeby inflating an internal air bladder. By what percentage must the fish increase its volume in order to beneutrally buoyant in fresh water? The density of air at room temperature is 1.2 kg/m3.

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Answers (1)

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Esther Drake · Answer 1

f = 8 %

Explanation:

given,

density of body of fish = 1080 kg/m³

density of air = 1.2 Kg/m³

density of water = 1000 kg/m²

to protect the fish from sinking volume should increased by the factor f

density of fish + density of water x increase factor = volume changes in water

1080 + f x 1.2 = (1 + f) x 1000

1080 + f x 1.2 = 1000 + 1000 f

998.8 f = 80

f = 0.0800

f = 8 %

the volume increase factor of fish will be equal to f = 8 %