Question asked by Filo student

Numericals 1. A force of $80\mathrm{N}$ is applied on a nail, whose tip has a cross-sectional area of $0.002{\mathrm{cm}}^2$. Calculate the pressure on the tip. Ans. $4\times 10^8\mathrm{Pa}$. 2. The weight of a person is $80\mathrm{kg}$-f. How much pressure is exerted by him on the ground, when (i) he is lying, (ii) he is standing on both his feet? Given : area of the body of the person $1.2{\mathrm{m}}^2$ and that of a foot is $60{\mathrm{cm}}^2\left(g=9.8\mathrm{m}{\mathrm{s}}^{-2}\right)$. Ans. (i) $6.53\times 10^2\mathrm{Pa}$, (ii) $6.53\times 10^4\mathrm{Pa}$. 3. The air-pressure is equal to $75\mathrm{cm}$ column of mercury. Express it in $\mathrm{N}{\mathrm{m}}^{-2}$. Given $g=10\mathrm{m}{\mathrm{s}}^{-2}$, density of mercury $=13.6\times 10^3\mathrm{kg}{\mathrm{m}}^{-3}$. 4. Calculate the pressure of sea water at a depth of $200\mathrm{m}$, when the average density of sea water is $1.032\times 10^3\mathrm{kg}{\mathrm{m}}^{-3}\left(g=9.8\mathrm{m}{\mathrm{s}}^{-2}\right)$. Ans. $2.023\times 10^6\mathrm{N}{\mathrm{m}}^{-2}$.

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Updated on: Feb 25, 2023