Duck, incoming rock!

You tie a 1 kg1~\mbox{kg} mass to the end of a 1 m1~\mbox{m} long string. The string has a breaking tension of 200 N200~\mbox{N} and you swing it in a vertical circle faster and faster. At the very bottom of one swing the string breaks and the mass flies off horizontally from a height of 1 m1~\mbox{m}. How far has the mass gone horizontally in meters when it hits the ground?

Details and assumptions

  • The acceleration of gravity is 9.8 m/s2-9.8~\mbox{m/s}^2.
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