a) It is wintertime and you have to cross a lake. Unfortunately, the only option is to use one of the pieces of ice floating on the water with an area of about 4.0 m2 (the ice pieces have roughly circular and disc-like shapes). Assume your mass is 70 kg - what minimum thickness must an ice piece have so that you can stand on it just without getting your shoes wet? Use density of water of 1.0 10' kg/m and ice of 0.92 · 10' kg/m Hint: Figure out what are the upward and downward forces in that problem.

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