Question

IF a force of 2000N acting on a surface exerts 200 N/msquare pressure.Calculate the area of surface

Answer 1

Required Answer:

★ Area = 10 m² ★

______________

Given :

• Force applied (F) = 2000 N

• Pressure exerted (P) = 200 N/m²

To calculate:

• Area = ?

Calculation:

We know that,

★ $\boxed {\sf {P = \dfrac{F}{A} }}$

Where,

→ P = Pressure

→ F = Force

→ A = Area

Inserting values:

→ 200 N/m² = $\sf { \dfrac{2000 \: N}{A} }$

→ 200 N/m² × A = 2000 N

→ A = $\sf { \dfrac{ 2000}{200} \: {m}^{2} }$

→ A = $\sf { \dfrac{ 20}{2} \: {m}^{2} }$

→ A = $\sf { 10 \: {m}^{2} }$

Therefore, area of the surface is 10 m².

Verification :

★ $\boxed {\sf {P = \dfrac{F}{A} }}$

→ 200 N/m² = $\sf { \dfrac{2000 \: N}{10 \: {m}^{2}} }$

→ 200 N/m² = 200 N/m²

LHS = RHS. Hence , verified!!

_________________________________

More Information:

• Pressure is defined as force per unit area.

• SI unit of pressure is Pa.

• Pa is also also called "N/m²".

• Pressure depends on force and area.

• More the force applied, more the pressure will be.

• If area is large then pressure will be less.

• If area is small then pressure will be more.

Answer 2

✓Verified Answer

Required Answer:

★ Area = 10 m² ★

______________

Given :

• Force applied (F) = 2000 N

• Pressure exerted (P) = 200 N/m²

To calculate:

• Area = ?

Calculation:

We know that,

★ \boxed {\sf {P = \dfrac{F}{A} }}

P=

A

F

Where,

→ P = Pressure

→ F = Force

→ A = Area

Inserting values:

→ 200 N/m² = \sf { \dfrac{2000 \: N}{A} }

A

2000N

→ 200 N/m² × A = 2000 N

→ A = \sf { \dfrac{ 2000}{200} \: {m}^{2} }

200

2000

m

2

→ A = \sf { \dfrac{ 20}{2} \: {m}^{2} }

2

20

m

2

→ A = \sf { 10 \: {m}^{2} }10m

2

Therefore, area of the surface is 10 m².

Verification :

★ \boxed {\sf {P = \dfrac{F}{A} }}

P=

A

F

→ 200 N/m² = \sf { \dfrac{2000 \: N}{10 \: {m}^{2}} }

10m

2

2000N

→ 200 N/m² = 200 N/m²

LHS = RHS. Hence , verified!!

_________________________________

More Information:

• Pressure is defined as force per unit area.

• SI unit of pressure is Pa.

• Pa is also also called "N/m²".

• Pressure depends on force and area.

• More the force applied, more the pressure will be.

• If area is large then pressure will be less.

• If area is small then pressure will be more.