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1. A pair of cylindrical shoes each having a radius of 1 m and height of 5 cm ar

ID: 2256162 • Letter: 1

Question

1.     A pair of cylindrical shoes each having a radius of 1 m and height of 5 cm are designed to allow a person to stand on water without getting their feet wet.  The density of the shoes is 0.95 g/cm3, and the surface tension is 72.8 dyn/cm.  What is the largest mass the person can have?

a.     15.5 kg

b.     32 kg

c.     59 kg

d.     78 kg

e.     155 kg

A pair of cylindrical shoes each having a radius of 1 m and height of 5 cm are designed to allow a person to stand on water without getting their feet wet. The density of the shoes is 0.95 g/cm3, and the surface tension is 72.8 dyn/cm. What is the largest mass the person can have?

Explanation / Answer


W = rho*V*g + 2*pi*R*T = (0.95*1000*3.14*1^1*0.05) + (0.0728*2*3.14*0.05)

m = W/g = 15kg