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natali 33 [55]
3 years ago
14

the pressure exerted on the floor by the heel of someone's shoe is inversely proportional to the square of the width of the heel

of their shoe. When Megumi wears 2cm wide heels, she exerts a pressure of 400 kPa. Determine a function to represent the pressure, p, exerted by Megumi if she wears heels of width, w.
Mathematics
1 answer:
Katen [24]3 years ago
4 0
P = k/w^2 

<span>first of all you need to find k </span>
<span>But I kind of don't like the units of each value so let say </span>
<span>400KPa = 4 * 10^5 Pa = 4 * 10^5 N/m^2 </span>
<span>2 cm = 2 * 10^-2 m </span>

<span>input values in the equation </span>

<span>4*10^5 = k/(4*10^-4) >>> k = 160 N </span>

<span>P = 160/w^2 </span>
<span>it said if she wears a heel with a width of .5 cm </span>

<span>P = 160(0.5 * 10^-2)^2 >>> P = 6400 KPa</span>
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