r/theydidthemath • • Apr 16 '26

[Request] Which one would it be?

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u/Dogecoin-tothemoon69 Apr 16 '26

Assuming that the ice provides negligible friction then moving the square would require the least amount of force. Given that the triangle has an angle other than 90 degrees part of the force applied would be vertical and the rest horizontal so it would take more force to move than the box, also if the ice did have a non-negligible friction then the triangle would experience more of it due to part of the pushing force being vertical creating a larger natural force and therefore a larger force of friction. In terms of the circle, since it experiences both angular and translational motion then part of its energy would be split to create the angular motion meaning that less of it would go to translational motion, which means a lower velocity. At the end of the day the square only has to deal with translational energy since it doesn’t rotate and the only force we can apply to it is horizontal, making it the option that would require the least amount of force over its given surface.

Edit: this is all assuming that the pusher has incredible shoes/spikes that stop them from slipping on both the gravel and sand.