Lazy fish

Fish achieve neutral buoyancy (so they don't have to swim constantly to stay in place) via a swim bladder. A swim bladder is a little internal sack that they can inflate/deflate with air, which changes their volume but not their total mass. To see how this allows them to change their buoyancy, let's consider the situation of a fish floating at rest in the ocean at some arbitrary depth. It inflates its swim bladder and increases its volume to 1.1 times its original volume without losing any mass. It therefore should begin to accelerate upwards automatically without having to swim. What is its acceleration in \(\mbox{m/s}^2\)?

Details and assumptions

  • The acceleration of gravity is \(-9.8~\mbox{m/s}^2\).
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