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How fast would a punch need to be for the shockwave to burst


janaki

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This is an odd question, I know, but I watch plenty of crazy shows and they rub off on me. Say you are super fast and strong, and you see a nice puffy cloud 7500 feet in the air, a few miles away. Let's say you are capable of throwing a punch at hypersonic speeds, creating a wave of compressed air. Just about how fast would you need to punch to make a shockwave capable of busting the nice big cloud? You can make up your own calculations for how far the cloud probably is, as I assume you have a basic idea of what I want to know. Remember also, to take the size of the fist into account. I'd like the answer to be in mach number. I shall grant ten points to the genius who solves this for me

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