Minimum area of a shoe heel exerting pressure

Homework Statement

The floor on a dance hall can take a pressure of 3.5 MPa before getting damaged. A lady of mass 60kg wears high heeled shoes. What is the smallest area of the sole of a heel she could wear such that it won't permanently damage the floor?

Homework Equations

Area = Force/Pressure

The Attempt at a Solution

3.5 MPa = 3500000 Pa

Force (weight) = 60 x 9.8 = 588N

But I don't know where to go from there...I tried just dividing Force by Pressure but got a different answer to that in the book. Thanks in advance to anyone that can help! :-)

SteamKing
Staff Emeritus
Homework Helper
We can't tell what you did unless you show us your calculations.

haruspex
Homework Helper
Gold Member
... It will also help if you post the answer from the book.

... It will also help if you post the answer from the book.

The book said 8.4 x 10^-5 m^2, but I did 588 (force) / 3500000 (pressure) = 1.68 x 10^-4.

I'm feeling there's a step I'm missing but I'm not sure...

haruspex
Homework Helper
Gold Member
The book said 8.4 x 10^-5 m^2, but I did 588 (force) / 3500000 (pressure) = 1.68 x 10^-4.

I'm feeling there's a step I'm missing but I'm not sure...
You may have noticed that your answer is exactly twice that given in the book (as I suspected).
Why do you think that might be? Btw, I agree with your answer. Whoever wrote the book has outsmarted him/herself.

arildno
Homework Helper
Gold Member
Dearly Missed
He outsmarted me at least, although that isn't too difficult in the general case. Damn!

You may have noticed that your answer is exactly twice that given in the book (as I suspected).
Why do you think that might be? Btw, I agree with your answer. Whoever wrote the book has outsmarted him/herself.

Ah ok, so you don't think I've gone wrong? I was a little confused haha

arildno