Question

A woman walking across a lawn in high-heeled shoes would leave a deeper impression on the ground than an elephant. Why?

Answer 1

It is due to high pressure
We know pressure =force /area
And area of heel in very low so pressure is very high that's why it make deeper impressions

Answer 2

A woman walking across a lawn in high-heeled shoes would leave a deeper impression on the ground than an elephant since pressure is indirectly proportional to the surface area.

• The formula for calculating pressure applied by an object is force divided by area.
• Hence, the pressure applied by an object is indirectly proportional to the surface area of the object.
• Another simpler and non-mathematical way of explaining this would be that when the surface area is less, the force is concentrated at a single point and is also released from a single point. Thus, the pressure is higher.
• Here, in the given example, the surface area of a high-heeled shoe is much less than that of the foot of an elephant.
• Thus, the high-heeled shoe will leave a deeper impression on the ground since force is concentrated at a single point on the end of the high-heeled shoe.
• So, a woman walking across a lawn in high-heeled shoes would leave a deeper impression on the ground than an elephant since pressure is indirectly proportional to the surface area.

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