Question

solve the numericle. 1. find the force required to exert a pressure of 2000pa. on a area of 1cm cube​

Answer 1

Appropriate Question:

Find the force required to exert a pressure of 2000 Pa on a area of 1 cm².

Answer:

0.2 N

Explanation:

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

• Pressure (P) = 2000 Pa
• Area (A) = 1 cm²

We are asked to calculate force exerted (F). Firstly, we need to convert area in m² in order to calculate force in its SI units.

$\longmapsto\rm { 1 \; m^2 = 10000 \; cm^2}$

$\longmapsto\bf { 1 \; cm^2 = \dfrac{1}{10000} \; m^2}$

Now, as we know that,

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

• P denotes pressure
• F denotes force
• A denotes area

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

Substituting the values.

$\longmapsto\rm { F =\cancel{ 2000} \; \dfrac{N}{\cancel{m^2}} \times \dfrac{1}{\cancel{10000}}\; \cancel{m^2}}$

$\longmapsto\rm { F =2 \; N \times \dfrac{1}{10} }$

$\longmapsto\bf { F = 0.2 \; N}$

∴ Force exerted is 0.2 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.