Optimizing Toothpick Egg Drop Project Design

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To optimize the toothpick egg drop project, consider enhancing the structural integrity of the design by reinforcing the cube with additional toothpick bracing. Reducing the weight while maintaining strength is crucial, so focus on minimizing excess material. Incorporating a crumple zone or a parachute-like feature could help absorb impact and slow descent. Ensure the egg is securely cushioned within the plastic bag to prevent breakage. Making these adjustments can improve the chances of a successful drop without needing to start from scratch.
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Homework Statement


I have to build a egg drop project out of only toothpicks and glue. I can have a plastic bag to hold the egg (and avoid cleaning up a mess). It has to weigh 40 grams or less. The egg must be dropped from a height of three meters. I attempted to build it. I had a cube to hold the egg and underneath I had squares made of toothpicks glued to it. Is there any suggestions for modifications that I should make for a successful drop?
 
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Right now, it looks like a rectangular prism with two squares sticking out of the bottom. Also, If I have to, I'm not against scrapping my project for a better design. But I rather just make a few adjustments to my design. I'm rather pressed for time.
 
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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