The dimensions of heel of shoes of a girl is 45kgf are 1.5 cm×1cm .Find the pressure exerted on the ground when she is standing on one heel.
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weight of girl = 45 kgf
area of cross section of one heel = 1 cm²
area of cross section of two heel = 1×2 = 2 cm²
Weight of girl = mg = 45×10 = 450 N
Pressure = \frac{weight}{area} = \frac{450\ N}{2\ cm^2} =225\ N/cm^2Pressure=
area
weight
=
2 cm
2
450 N
=225 N/cm
2
weight of elephant = 2500 kgf
area of cross section of one foot = 240 cm²
area of cross section of four feet = 240×4 = 960 cm²
Weight of elephant = mg =2500 ×10 = 25000 N
Pressure = \frac{weight}{area} = \frac{25000\ N}{960\ cm^2} =26\ N/cm^2Pressure=
area
weight
=
960 cm
2
25000 N
=26 N/cm
2
So the girl with pencil heels exerts more pressure.
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