Question

Aap block wigging 1kg is in the shape of a cube of the length 10 centimetre it is kept on a horizontal table find the pressure on the portion of the table where the block is kept.

Answer 1

➩ Solution :-

$\blue{\bold{\boxed{pressure = force / area}}}$

$⟶$area of one side of cube =

$⟶$a×a=10×10=100 cm²

$\blue{\bold{\boxed{p=weight /area }}}$

$⟶p=1000/100$

${\bold{\boxed{ p = 10 }}}$

Note :-

• weight is also considered as froce

Answer 2

$\huge\mathfrak{Answer:}$

$\large\underline{\sf{\blue{Given:}}}$

• A block of mass 1 kg in shape of a cube is kept on a horizontal table
• Edge of given cube is 10 cm

$\large\underline{\sf{\blue{To \: Find:}}}$

• We have to find the pressure on the table due to cubical block

$\large\underline{\sf{\blue{Concept \: Used:}}}$

Pressure can be simply defined as Thrust by a body per unit its area

$\boxed{\sf{Pressure = \dfrac{Force}{Area}}}$

It's SI unit is N/m² or Pascal.

Usually represented as Pa. Types of Pressure are Absolute , Relative , Atmospheric etc.

Dimensional Formula : $\sf{[M L^{-1} T ^{-2}]}$

$\sf{}$

$\large\underline{\sf{\blue{Solution:}}}$

We have been given that :

$\boxed{\sf{Mass \: of \: Block = 1 \: kg}}$

Force Exerted by mass of Block on the surface of horizontal table is :

$\hookrightarrow \sf{Force = mg}$

$\hookrightarrow \sf{Force = 1 \times 9.8}$

$\hookrightarrow \boxed{\sf{Force = 9.8 \: N}}$

$\sf{}$

Area of Block in contact with the table is

$\hookrightarrow \sf{Area = (Side)^2 }$

$\hookrightarrow \sf{Area = (10)^2 }$

$\hookrightarrow \sf{Area = 100 \: cm^2 }$

$\hookrightarrow \boxed{\sf{Area = 10^{-2} \: m^2 }}$

$\sf{}$

$\large\underline{\mathfrak{\red{We \: know \: that :}}}$

Pressure is the force exerted per unit area by a mass

$\implies \sf{Pressure = \dfrac{F}{A}}$

$\implies \sf{Pressure = \dfrac{9.8}{10^{-2}}}$

$\implies \sf{Pressure = 9.8 \times 10^2 }$

$\implies \boxed{\sf{Pressure = 980 \: Pa}}$

$\sf{}$

Pressure Exerted is 980 Pa

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$\large\purple{\underline{\underline{\mathtt{Extra \: Information:}}}}$

• Pressure is directlty proportional to the force exerted. More the force more will be the Pressure
• Pressure is inversely proportional to area I'm contact .More the area in contact the lesser will be the Pressure.
• Force that acts perpendicular to a surface is known as Thrust
• Types of Thrust : Upthrust and downthrust

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