Question

find the force required to exert a pressure 1000n/m on an area of0.005m

Answer 1

Answer:

5N

Explanation:

As per the provided information in the given question, we have :

• Pressure (P) = 1000 N/m²
• Area (A) = 0.005m²

We are asked to calculate force required.

Let the force required be F. As, we know that :

$\longmapsto\bf{ P = \dfrac{F}{A} }$

• F denotes force
• A denotes acceleration
• P denotes pressure

Substituting the values as per the question.

$\longmapsto\rm{ 1000 \; Nm^{-2} = \dfrac{F}{0.005 \; m^2} }$

$\longmapsto\rm{ 1000 \; Nm^{-2} \times 0.005 \; m^2= F }$

$\longmapsto\rm{ \cancel{1000} \; \dfrac{N}{\cancel{m^2}} \times \dfrac{5}{\cancel{1000}} \; \cancel{m^2}= F }$

$\longmapsto\rm{ 1 \; N \times 5 = F }$

$\longmapsto\bf{ 5 \; N = F }$

∴ Force required is 5 N.

$\rule{200}2$

More Information :

• Pressure is defined as force per unit area.
• Its SI unit is N/m² or Pa.
• Pa denotes Pascal.
• When area is more pressure is less.
• When area is less pressure is more.

Answer 2

Answer:-

• Pressure =1000Pa
• Area=0.005m^2

We know

$\boxed{\sf Pressure=\dfrac{Force}{Area}}$

$\\ \sf\longmapsto Force=\dfrac{Pressure}{Area}$

$\\ \sf\longmapsto Force=\dfrac{1000}{0.005}$

$\\ \sf\longmapsto Force=\dfrac{1000}{\dfrac{5}{1000}}$

$\\ \sf\longmapsto Force=5N$