(D) Mass of the girl,$m = 50 \;kg$. Diameter of the heel,$d = 1 \;cm = 0.01 \;m$. Radius of the heel,$r = d/2 = 0.005 \;m$. Area of the heel,$A = \pi

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$6.24 \times 10^{6} \;N m^{-2}$

(D) Mass of the girl,$m = 50 \;kg$. Diameter of the heel,$d = 1 \;cm = 0.01 \;m$. Radius of the heel,$r = d/2 = 0.005 \;m$. Area of the heel,$A = \pi r^2 = \pi(0.005)^2 \approx 7.85 \times 10^{-5} \;m^2$. Force exerted by the heel on the floor,$F = mg = 50 \times 9.8 = 490 \;N$. Pressure exerted by the heel on the floor,$P = F/A = 490 / (7.85 \times 10^{-5}) \approx 6.24 \times 10^6 \;N m^{-2}$.

Class 11 Physics Mechanical Properties of Solids Basic of Elasticity, Stress and Strain relationship and Graphical analysis

Medium

$A$ $50 \;kg$ girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter $1.0 \;cm$. What is the pressure exerted by the heel on the horizontal floor?

A
$1.95 \times 10^{7} \;N m^{-2}$
B
$8.62 \times 10^{5} \;N m^{-2}$
C
$2.65 \times 10^{5} \;N m^{-2}$
D
$6.24 \times 10^{6} \;N m^{-2}$

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Mechanical Properties of Solids

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Basic of Elasticity, Stress and Strain relationship and Graphical analysis

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$A$ metal block of mass $m$ is suspended from a rigid support through a metal wire of diameter $14\,mm$. The tensile stress developed in the wire under equilibrium state is $7 \times 10^5\,N m^{-2}$. The value of mass $m$ is $......kg$.
(Take,$g = 9.8\,m s^{-2}$ and $\pi = \frac{22}{7}$)

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$A$ $50 \;kg$ girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter $1.0 \;cm$. What is the pressure exerted by the heel on the horizontal floor?

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$A$ metal block of mass $m$ is suspended from a rigid support through a metal wire of diameter $14\,mm$. The tensile stress developed in the wire under equilibrium state is $7 \times 10^5\,N m^{-2}$. The value of mass $m$ is $......kg$.(Take,$g = 9.8\,m s^{-2}$ and $\pi = \frac{22}{7}$)

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$A$ metal block of mass $m$ is suspended from a rigid support through a metal wire of diameter $14\,mm$. The tensile stress developed in the wire under equilibrium state is $7 \times 10^5\,N m^{-2}$. The value of mass $m$ is $......kg$.
(Take,$g = 9.8\,m s^{-2}$ and $\pi = \frac{22}{7}$)