Question

A cuboid of dimensions 5cm x 2 cm has a mass of 20gm calculate the pressure exerted by the cuboid​

Answer 1

$\huge \color{gold} {\mid{\fbox{\cal{Answer}}\mid}}$

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$\sf\green{Given:-}$

➻ ᴅɪᴍᴇɴsɪᴏɴs ᴏғ ᴛʜᴇ ᴄᴜʙɪᴏᴅ=5ᴄᴍ &2ᴄᴍ

${↬5×10^{-2}m}$

${↬2×10^{-2}m}$

➻ ᴍᴀss ᴏғ ᴛʜᴇ ᴄᴜʙᴏɪᴅ=20gm

${↬\frac{20}{1000}}$

↬0.02ᴋɢ

➻ᴘʀᴇssᴜʀᴇ ᴇxᴇʀᴛᴇᴅ ʙʏ ᴛʜᴇ ᴄᴜʙɪᴏᴅ=?

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$\sf\blue{Pressure\: formula:-}$

${➻pressure=\frac{Force}{Area}}$

➻ғᴏʀᴄᴇ=?

➻ᴀʀᴇᴀ=?

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$\sf\pink{We\: know:-}$

${➻Force=Mass×Acceleration}$

➻ᴡʜᴇʀᴇ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ɪs ${9.8m/s^{2}}$ ᴀᴛ ᴛʜᴇ ᴇᴀʀᴛʜ's sᴜʀғᴀᴄᴇ

➻ ᴀɴᴅ,ᴍᴀss=0.02ᴋɢ

${↬Force=0.02kg×9.8m/s^{2}}$

${↬Force=\frac{2kg×98m/s^{2}}{1000}}$

${↬Force=\frac{196kgm/s^{2}}{1000}}$

${↬Force={0.196kgm/s^{2}}}$

${↬Force=0.196Newtons}$

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$\sf\purple{Now,}$

${➻pressure=\frac{Force}{Area}}$

➻ғᴏʀᴄᴇ=0.196ɴ

↬ᴀʀᴇᴀ= ${5×10^{-2}m×2×10^{-2}m}$

↬ᴀʀᴇᴀ= ${10×10^{-2}×10^{-2}m^{2}}$

↬ᴀʀᴇᴀ= ${10×10^{-4}m^{2}}$

↬ᴀʀᴇᴀ= ${10^{-3}m^{2}}$

${↬pressure=\frac{0.196N}{10^{-3}m^{2}}}$

${↬pressure=\frac{196N×10^{3}m^{-2}}{1000}}$

${↬pressure=\frac{196N×1000m^{2}}{1000}}$

➻ ᴘʀᴇssᴜʀᴇ=196${Nm^{2}}$

$\bf {\fbox {➻Pressure=196pascals}}$

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$\sf\red{Henceforth,}$

➻ ᴛʜᴇ ᴘʀᴇssᴜʀᴇ ᴇxᴇʀᴛᴇᴅ ʙʏ ᴛʜᴇ ᴄᴜʙᴏɪᴅ ɪs 196ᴘᴀ

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$\color{gold} {\mid{\fbox{\cal{Hope\: it\: works}}\mid}}$

Answer 2

Pressure =Force/Area

Force= mass×acceleration

=0.02kg×9.8

=0.196N

pressure =0.196×10^3

The answer will be 196 pas