When a woman in high-heeled shoes takes a step, she momentarilyplaces her entire
ID: 1725339 • Letter: W
Question
When a woman in high-heeled shoes takes a step, she momentarilyplaces her entire weight on one heel of her shoe.(a) If her mass is 54kg and if the area of the heel is 2.00cm2, what is the pressure exerted on the floor by herheel?
1 atm
(b) What is the pressure exerted by one foot of an elephant on aflat floor? Assume the elephant's mass is 4150 kg, that he has all four feet equally distributedon the floor, and that each foot has an area of 390 cm2
2 atm (a) If her mass is 54kg and if the area of the heel is 2.00cm2, what is the pressure exerted on the floor by herheel?
1 atm
(b) What is the pressure exerted by one foot of an elephant on aflat floor? Assume the elephant's mass is 4150 kg, that he has all four feet equally distributedon the floor, and that each foot has an area of 390 cm2
2 atm
Explanation / Answer
(a) Mass, M = 54 kg Area of the heel, A = 2 X 10 -4m2 Force exerted, F = Weight ( W ) = M g = 54 * 9.8 = 529.2 N Pressure, P = F / A = 529.2 / ( 2 X 10 -4 ) = 26.5 X 10 5 Pa = 26.5 atm (b) Mass of elephant, M = 4150 kg Force exerted, F = Weight ( W) = M g = 4150 * 9.8 = 40670 N Force exerted by each leg , F' = F / 4 = 10167.5 N Area of each foot, A = 390 X 10 -4m2 Pressure exerted by each foot, P = F' / A = 10167.5 / ( 390 X 10 -4 ) = 2.6 X 10 5 Pa = 2.6 atm
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