Conservation of Momentum in a Fishy Encounter

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The discussion revolves around a physics problem involving the conservation of momentum in a scenario where a 5kg fish swallows a 1kg fish. The initial momentum of the system is calculated, and it is determined that the larger fish's speed after the encounter is -5m/s when the smaller fish is at rest. The conversation highlights the need for clarity in the problem statement, specifically correcting the phrasing regarding the smaller fish's state. Additionally, there is a query about the larger fish's speed if the smaller fish approaches at 4m/s. The importance of applying momentum conservation principles is emphasized in solving the problem.
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Homework Statement



A 5kg fish is swimming at 1m/s swallows an absent minded fish swimming 1kg fish at rest. (a) Show that the speed of the larger fish after lunch is -5m/s. What would be its speed if the smaller fish was traveling toward it at 4m/s

Homework Equations



momentum=mv?

The Attempt at a Solution


I don't know what to do...sorry
 
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You can use conservation of momentum, but first you need to correct your problem statement '..fish swimming 1kg fish at rest..' :confused:
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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