Some fish have a density slightly less than that of water and must exert a force (swim) to stay submerged. What force must an 85

Question

2 years ago

9

.0-kg grouper exert to stay submerged in salt water if its body density is

1 answer:

vichka [17] · Answer 1 · 2023-04-28T02:09:57+03:00

The force require to keep grouper submerged is 8.207N.

According to Archimedes principle buoyant force of any object must equal to weight of fluid it displaced.

The expression for the force exerted to stay submerged in salt water is

F = F(b) - w(fish)

where F(b) = buoyant force

w(fish) = weight

now substitute w(b) for F(b)

→ F = Vρg - w(fish)

where V = volume of sea water

ρ = density of sea water

Now by Archimedes principle V = m(fish) / ρ(fish)

→ F = (m(fish) / ρ (fish) ) ρg - m(fish)g

F = (85 kg/1015 kg-m^-3) (1.025× 10³ kg-m^-3) (9.8 m/s^2)

- (85kg) × 9.8 m/s^2

F = 841.207N - 833N

F = 8.207 N

Hence, the force require to keep grouper submerged is 8.207N.

Learn more about Archimedes Principle here:

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