Concept explainers
Which produces more pressure on the ground, an elephant or a woman balancing on high heels? Assume an elephant weighs 500 times more than the woman, and the cross-sectional area of its feet is 10,000 times greater than that of the woman’s heels.
To identify:Whether woman with high heels or elephant exerts more pressure on the ground.
Answer to Problem 47A
The pressure exerted by the woman with high heels is more than the pressure exerted by elephant
Explanation of Solution
Given information:
Elephant weight is 500 times more than woman. Cross-sectional area of elephant’s feet is 10,000 times greater than woman heels.
Formula used:
The pressure
Here,
Calculation:
Weight of woman
Weight of elephant
Cross sectional area of heel is
Cross sectional area of elephant feet is
So, the pressure exerted by the woman on the ground is,
The pressure exerted by the Elephant on the ground is,
Ratio of pressure exerted by woman to pressure exerted by elephant is,
Conclusion:
Therefore, the pressure exerted by the woman with high heels is 20 times more than the pressure exerted by elephant.
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