Question

Pressure exerted on a 5m 2 area is 200 Pa. Calculate the force applied on the surface.

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Force\:applied=1000\:N}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Area = 5 { \: m}^{2} \\ \\ \tt: \implies Pressure = 200 \: pa \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Force = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Pressure = \frac{Force}{Area} \\ \\ \tt: \implies 200 \: pa = \frac{Force}{5} \times \frac{1}{m^{2} } \\ \\ \tt: \implies 200 \times \frac{N}{ {m}^{2} } = \frac{Force}{5} \times \frac{1}{ {m}^{2} } \\ \\ \tt: \implies 200 \times 5 \times \frac{N}{ {m}^{2} } \times {m}^{2} = Force \\ \\ \green{\tt: \implies Force = 1000 \: N} \\ \\ \green{\tt \therefore Force \: applied \: is \: 1000 \: N}$

Answer 2

Given

➝ Pressure exerted = 200 Pascals.

➝ Area of surface = 5m²

To find

➝ Force applied on the surface

Solution

What is pressure?

Pressure is the division of force applied and area of surface.

Unit : Pascal / [N/m²]

What is 1 Pascal?

If on a surface area of 1 m² , 1 N force is applied, then pressure exerted on that surface is called 1 Pascal.

Now we have ;

➝ Area (A) = 5m²

➝ Pressure (P) = 200 Pa

Now we know that,

➝ Pressure (P) = Force(F)/Area(A)

Substituting values,

➝ 200 = F/5

➝ F = 5 × 200

➝ F = 1000 N

∴ Force applied on surface = 1000 N