Question

How much force should be applied on an area of 4m² to get a pressure of 15 N/m​

Answer 1

Given :-

• $\bf\red{Area = 4sq.m}$
• $\bf\orange{Pressure = 15 N/m}$

To find :-

• $\bf\green{Applied \ force}$

Formula Applied :-

• $\boxed{\bf{\purple {Pressure= \dfrac{Force}{Area}}}}$

Solution :-

$\to\:\:\sf{P\times A= Force }$

$\to\:\:\sf{ 15\times 4= Force}$

$\to\:\:\sf{ Force = 60 N}$

$\star\:{\underline{\boxed{\bf{\red{Force\: applied\:=\:60N}}}}}$

Additional Information :-

• SI unit of pressure is ${\bf{\blue{Pascal}}}$
• SI unit of force is ${\bf{\purple{Newton }}}$

Answer 2

$\huge\rm\green { ☆_!! Question !_! ☆}$

How much force should be applied on an area of 4m² to get a pressure of 15 N/m

$\huge\rm\blue { ☆_!! Answer !_! ☆}$

⠀

$\begin{gathered}{\small{\bf{We\:Have}}}\:\begin{cases}\sf\red{Pressure(P )\: =\:15 \: N/m}\\\sf\orange{Area \ (A) \ = \ 4 m ^{2} }\\\sf\green{Force \ (F) \ = ?N}\end{cases}\end{gathered} </p><p>$

⠀

As we know ,

↝ $\tt pressure \: = \dfrac{force}{area}$

⠀

so ,

↝Force = Pressure × Area

↝Force = 15 N/m × 4 m²

↝Force = 15 × 4

↝Force = $\sf\purple{ 60 Newton }$

⠀

Hence ,60 Newton force should be applied on an area of 4m² to get a pressure of 15 N/m .

⠀

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⭐ ADDITIONAL INFORMATION ⭐

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⠀

⠀

$\sf\orange{ Force }$

» A push or pull which changes the state of rest or of uniform motion of an object or change its direction or shape .

» SI unit → Newton ( N )

» force is a vector quantity i.e, it has magnitude as well as direction .

⠀

$\sf\orange{ Pressure }$

» pressure is defined as a force per unit area ( P = F / A )

• P = Pressure

• F = applied force

• A = area of contact between the two surface

» SI unit → Pascal (pa) or N/m²

» pressure is a scalar quantity .

» • Pressure = Force / Area

⠀• Force = Pressure × Area

⠀• Area = Force / pressure