What is the safe heel size for a 60kg woman on a vinyl kitchen floor?

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Physics "pressure" question

Homework Statement



The vinyl plastic floor covering on a kitchen floor has a compressive yield stress of 3.5 MPa. A lady of mass 60 kg wears high-heeled shoes. What is the smallest area of the sole of a heel which will not permanently damage the floor?
 
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Can you show some attempt at an answer and then we can give you some help.
 
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