Calculating Bird's Speed After Swallowing an Insect

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The discussion revolves around calculating a bird's speed after it swallows an insect, using the conservation of momentum principle. The original poster incorrectly applied an equation for final velocity and expressed confusion about determining initial and final momentums. The correct approach involves considering both the bird's and insect's momentums before and after the event. The initial speed of the bird is indeed 6.4 m/s, and the final speed requires proper application of momentum conservation. Clarification on these concepts is essential for solving the problem correctly.
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I attempted this problem, and got it wrong. I am a little lost on what I am doing wrong. Any help would be nice. It is due tonight.

Problem: A 300 g bird flying along at 6.4 m/s sees a 10 g insect heading straight toward it with a speed of 33 m/s (as measured by an observer on the ground, not by the bird). The bird opens its mouth wide and enjoys a nice lunch. What is the bird's speed immediately after swallowing?

For my wrong answer, I used the equation Vf = (MVi)/Mf, which game me ((.3 kg)(6.4 m/s))/.31 kg, which was wrong. (Lowercase letters should be subscripts)
 
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Consider the initial and final momentums and apply, as you already have the conservation of momentum.

Make sure you consider everything in the system, the equation you posted is wrong in this situation.
 
My next thought is that it doesn't change. The speed of the bird stays 6.4 m/s. But I am not sure if that is right either.
 
I tried what I said, and it was wrong too, but I thought I would try anyways.

When you say I have the initial and final momentums, how do you get the final and initial? Is the initial speed for the bird, which I would say it is?
 
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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