IF a force of 2000N acting on a surface exerts 200 N/msquare pressure.Calculate the area of surface
Answers
Required Answer:
★ Area = 10 m² ★
______________
Given :
• Force applied (F) = 2000 N
• Pressure exerted (P) = 200 N/m²
To calculate:
• Area = ?
Calculation:
We know that,
★
Where,
→ P = Pressure
→ F = Force
→ A = Area
Inserting values:
→ 200 N/m² =
→ 200 N/m² × A = 2000 N
→ A =
→ A =
→ A =
Therefore, area of the surface is 10 m².
Verification :
★
→ 200 N/m² =
→ 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.
✓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.