Question

$\huge\fcolorbox{pink}{pink}{\red{Question?}}$
1. If the area is 0.04 m² and the pressure is 20,000 N/m², Find the weight of the object.

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Answer 1

$\underline{\Large\sf{Information \: given \: to \: us:-}}$

$\red \bigstar \: \large\mathrm{Area \: of \: the \: object \: is \: 0.04 m {}^{2} }$

$\red \bigstar \: \large\mathrm{pressure\: of \: the \: object \: is \: 20000 \: N/m {}^{2} }$

$\underline{\Large\sf{Need \: to \: be \: calculated:-}}$

$\red \bigstar \: \large\mathrm{Weight \: of \: that \:object?}$

$\underline{\Large\sf{Required \: Calculations:-}}$

Here first of all simply use the formula of calculating the Pressure.

That is,

$: \large{\bf{\longmapsto}} \: \boxed{\sf{ P } \: = \: \dfrac{F}{A}}$

Where,

• $\sf{ P \: denotes \: Pressure}$
• $\sf{ F\: denotes \: Force}$
• $\sf{ A \: denotes \: Area}$

But we aren't asked to calculate the pressure as we had been already given to us. Instead of it we have to calculate the weight of the object i.e., Force.

Formula can be rewritten as,

$: \large{\bf{\longmapsto}} \: \boxed{\sf{F \: = \: P \: × \: A }}$

Again where,

• $\sf{ F\: denotes \: Force}$
• $\sf{ P \: denotes \: Pressure}$
• $\sf{ A \: denotes \: Area}$

Now we would be substituting values,

$: \large{{\longmapsto}} \: {\sf{ Force \: = \: 20000 \: \times \: 0.04 }}$

Removing decimal point,

$: \large{{\longmapsto}} \: {\sf{ Force \: = \: 20000 \: \times \: \dfrac{4}{100} }}$

Reducing to their lowest terms,

$: \large{{\longmapsto}} \: {\sf{ Force \: = \: \cancel{20000 }\: \times \: \dfrac{4}{ \cancel{100}} }}$

We gets,

$: \large{{\longmapsto}} \: {\sf{ Force \: = \: 200 \: \times \: 4 }}$

Now,

$: \large{{\longmapsto}} \: \boxed{\sf{ Force \: = \: 800 \: }}$

$\red \bigstar {}$Thus, weight is 800 N

Answer 2

Answer:-

• Area=0.04m^2
• Pressure=20000N/m^2

We know

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

$\\ \sf\longmapsto Force=Pressure\times Area$

$\\ \sf\longmapsto Force=20000N/m^2\times 0.04m^2$

• Cancel m^2

$\\ \sf\longmapsto Force=20000N\times 0.04$

$\\ \sf\longmapsto Force=800N$

.

Note:-

• SI unit of Force is Newton(N)
• SI unit of Pressure is Pascal (Pa)

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