How Can You Protect an Egg in a Physics Experiment with Strict Guidelines?

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The physics experiment involves protecting a raw egg under strict guidelines, including a maximum container size and prohibitions on various materials. The egg must survive three tests: a drop from the second story, a weight drop, and being struck by a piece of wood, all using the same container. A participant attempted to use inflated water balloons for cushioning, which initially seemed promising due to the lightweight design. However, one balloon burst during testing, leading to the egg's disqualification. The discussion highlights the challenges of innovative design within strict experimental constraints.
steph555
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Alright, I am in Physics and my teacher is doing the typical egg dropping experiment
BUT!
we have rules

1. the volume of the container can be no bigger than 12in. by 12in. by 12in.
2. we can only use raw eggs, and the egg can't be drained
3. the container can't contain any fluids, or gels
4. it may contain no metal at all!
5. no food products!
6. it may not contain glass
7. egg must be able to be shown before and after each test
8. no parachutes!

the twist is that our egg must survive 3 tests
(we can't have different containers for the tasks)
1. dropped off the second story of our school
2. a 10lb weight will be dropped on it
3. smacked by a 2 by 4 piece of wood.
 
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I did that when I was a kid too. There was complex scoring and your score basically got multiplied by an inverse of how much your container weighed - so the lighter the container, the more points you got.

All I did was get a bunch of the small-sized water balloons and inflated them - with air instead of water, though - and stuck them to the egg with tape. It was so light compared to anyone else's that if it had survived I would've received something like a thousand times anyone else's score. The teacher was all disgruntled that I had outsmarted his scoring system. But alas, one of the balloons I used burst during one of the trials and the egg cracked - immediate disqualification! I think it happened because the latex was dried-out and fatigued… if you use balloons at all, buy fresh ones!

NASA totally ripped off my idea when they landed the Pathfinder probe on Mars. I was robbed! I should have gotten royalties! Ah, glory days.

Airbags.jpg
 
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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