Question

A force of 15 N acts on an area of 50 cm^2 .what is the pressure in pascal?

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Answer 1

GiVeN :-

A force of 15 N acts on an area of 50 cm².

• Force, F = 15 N
• Area, A = 50 cm²

To DeTeRmInE :-

The pressure applied(P) in Pascal.

AcKnOwLeDgEmEnT :-

Pressure is defined as the force released per unit area.

$\boxed{\rm{\bigstar\ Pressure=\frac{Force}{Area} }}$

SoLuTiOn :-

Converting 50 cm² to m² :-

50 cm² = 50/10000 = 0.05 m²

Substituting the known values in the above equation :-

$\rm{\hookrightarrow P=\dfrac{15}{0.005} }\\\\\rm{\hookrightarrow P=3000\ N/m^2}\\\\\boxed{\boxed{\rm{\hookrightarrow P=3000\ Pa}}}$

Hence, the pressure applied is 3000 Pa.

$\underline{\rule{190}2}$

From the acknowledgement, we conclude :-

◘ P ∝ F

This states, if the force increases, the pressure also increases, or vice-versa.

◘ P ∝ 1/A

This states that, if the surface area increases, the pressure decreases, or vice-versa.

Answer 2

$\maltese$ Answer $\maltese$

$\checkmark$ Given:

⇒ Force ( F ) = 15 Newtons ( N )

⇒ Area ( A ) = 50 cm²

$\checkmark$ To Find:

⇒ Pressure ( P ) in Pascal ( Pa )

$\checkmark$ Solution:

We know that,

Pressure is defined as the Force acting per unit Area

$\red{\boxed{\boxed{\sf Pressure \ ( P )=\dfrac{Force \ (F)}{Area \ (A)} }}}$

According to the Question,

We are asked to find Pressure ( P ) in Pascal

Given that,

$\green{\sf \implies Force \ ( F ) = 15 \ N}$

Area ( A ) = 50 cm²

Pressure is measured in Pascals which has units

kg m⁻¹s⁻²

So,

The value of Area ( A ) should be in m²

Conversion:

• Divide the Area (A) value by 10000

Hence,

$\blue{\sf \implies Area \ (A)=50 \times 10^{-4} \ m^2}$

Therefore,

Substituting the above values in the Formula,

We get,

$\orange{\sf \implies Pressure \ (P)=\dfrac{15 \ N}{50 \times 10^{-4} \ m^2}}$

$\orange{\sf \implies Pressure \ (P)=3000 \ N/m^2}$

Since,

• The SI unit for Pressure is the Pascal ( Pa )
• Unit of Pascal = N/m² = kg m⁻¹s⁻²
• 1 Pascal = 1 N/m²

Therefore,

$\pink{\sf \implies Pressure \ (P)=3000 \ Pa}$

Hence,

Pressure (P) = 3000 Pascal