Question

A stack of books exerts a force of 96 N on 3 m2 area. Find the pressure exerted by the books on the given area.​

Answer 1

Working out:

In this question, we have to find the pressure exerted by a stack of books whose force and area are given.

• Pressure is calculated by force (Thurst) applied on unit surface area.

$\because{\large{ \boxed{ \sf{P = \frac{F}{A}}}}}$

GiveN:

• Force applied by the books = 96 N
• Area of contact = 3 m²

By using formula,

⇛ P = F / A

Plugging the given values,

⇛ P = 96 N / 3 m²

⇛ P = 32 N/m²

The unit of pressure is also known as Pascal named after the scientist Blaise Pascal. So, the pressure exerted by the books on the given area:

$\therefore{ \LARGE{ \boxed{ \red{ \bf{ 32 \: pascals}}}}}$

And we are done !!

Answer 2

$\mathtt{\huge{\underline{\red{Question\:?}}}}$

★ A stack of books exerts a force of 96 N on 3m² area. Find the pressure exerted by the books on the given area.

$\mathtt{\huge{\underline{\green{Answer:-}}}}$

✒ 32 pascal

$\mathtt{\huge{\underline{\pink{Concept\:Used:-}}}}$

⭐ The force applied per unit area is known as Pressure.

P = $\</strong><strong>d</strong><strong>frac{</strong><strong>F</strong><strong>}{</strong><strong>A</strong><strong>}$

• SI unit is pascal (p).

• Dimensional formulae is [M L-¹ T-²].

$\mathtt{\huge{\underline{\orange{Solution:-}}}}$

According to the question,

• A stack of books exerts a force of 96 N on 3m² area.

Given Data :-

• The total force applied by the books is 96N.

• The total Area in contact of force applied is 3 m².

To Find :-

• The pressure exerted by the books on the given area.

Solving :-

By the defination of force we come to know ,

⇛ P = $\dfrac{F}{A}$ ______{1}

Using the given values in the ewuation 1.

➝ P = $\cancel{\dfrac{96}{3}}$

➝ P = 32 N/m² or 32 pascal

Hence, the total pressure exerted by the books on the given area is 32 pascal.

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