Egg toss design project with target for Physics 12 ISU

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MatticusjK
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Homework Statement


Need to build a container to hold a Large grade A egg that must have maximum dimensions of 25cm x 25cm x 25cm. Score for marks is based on Score = (200 - Distance from target in cm)/Mass of container with egg. The egg is thrown from at least 1 m above the ground and 2 m from the target.


Homework Equations


We've mostly been looking at impulse and momentum for our ideas, but nothing that solves our primary issue of hitting the target.


The Attempt at a Solution


We're thinking of a tesseract (box inside a box) but the big problem is hitting the target. We're planning on using cotton balls and double-sided tape. We're finding it easy to prevent the egg from breaking, but how are we going to make the container consistently accurate?
 
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We aren't able to control it after it has been thrown. We were thinking of perhaps a shape/substance that will limit bouncing? I also forgot to mention it cannot contain any electronics.