Solution Found!
The average density of the body of a fish is 1080 kg/m3.
Chapter 15, Problem 47P(choose chapter or problem)
Problem 47P
The average density of the body of a fish is 1080 kg/m3. To keep from sinking, a fish increases its volume by inflating an internal air bladder, known as a swim bladder, with air. By what percent must the fish increase its volume to be neutrally buoyant in fresh water? The density of air at 20°C is 1.19 kg/m3.
Questions & Answers
QUESTION:
Problem 47P
The average density of the body of a fish is 1080 kg/m3. To keep from sinking, a fish increases its volume by inflating an internal air bladder, known as a swim bladder, with air. By what percent must the fish increase its volume to be neutrally buoyant in fresh water? The density of air at 20°C is 1.19 kg/m3.
ANSWER:
Step 1 of 2
We have to find by what percent must the fish increase its volume to be neutrally buoyant in freshwater
The buoyant force acting on the fish is the force of gravity on the volume of water displaced by the fish.
\(F_{B}=\rho_{w}\left(V_{F}+V_{b}\right) g\)
Where,
\(\rho_{w}=\text { density of water }=1000 \mathrm{~kg} / \mathrm{m}^{3}\)
\(V_{F}=\text { Volume of fish in } \mathrm{m}^{3}\)
\(V_{b}=\text { Volume of bladder in } \mathrm{m}^{3}\)
\(g=9.80 \mathrm{~m} / \mathrm{s}^{2}\)