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Hows calculus used in circuses, specifically cannons?

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Hows calculus used in circuses, specifically cannons?

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Cannons in circuses aren’t really gunpowder blasters. The pressure required to launch a person would really hurt. Plus he isn’t pressed against the sides of the barrel to create enough compression. It is really a spring catapult. You can use conservation of spring potential energy, conversion of kinetic energy into potential energy and gravitational acceleration in a ballistic trajectory to see how much force is needed to launch a person of x kg y meters at an an alpha angle and land in the center of the net. The important thing for the human cannonball is that he cannot bend his legs while being launched so there will be a practical limitation on the force he can experience through his legs while the spring is decompressing. Make up numbers yourself, but you must use realistic numbers that your teacher can believe. For instance, you’ll get graded down if you assume a 100g launch force.

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