Question

If a force of 100n is acting on n area of 25cm square, what would be the pressure exerted?

Answer 1

Provided that:

• Force = 100 Newton
• Area = 25 cm sq.

To calculate:

• The pressure

Solution:

• The pressure = 40000 Pascal

Using concepts:

• Pressure formula
• Formula to convert cm² into m²

Using formulas:

• ${\small{\underline{\boxed{\sf{Pressure \: = \dfrac{Force}{Area}}}}}}$

• ${\small{\underline{\boxed{\sf{1 \: cm^2 \: = \dfrac{1}{10000} \: m^2}}}}}$

Required solution:

Required solution: ~ Firstly let us convert cm sq. into m sq. by using suitable formula!

$:\implies \sf 1 \: cm^2 \: = \dfrac{1}{10000} \: m^2 \\ \\ :\implies \sf 25 \: cm^2 \: = \dfrac{25}{10000} \: m^2 \\ \\ :\implies \sf 25 \: cm^2 \: = 0.0025 \: m^2 \\ \\ {\pmb{\sf{Henceforth, \: converted!}}}$

~ Now let's find pressure!

$:\implies \sf Pressure \: = \dfrac{Force}{Area} \\ \\ :\implies \sf Pressure \: = \dfrac{100}{0.0025} \\ \\ :\implies \sf Pressure \: = 40000 \: Pascal \\ \\ {\pmb{\sf{Henceforth, \: solved!}}}$

Answer 2

Answer:-

• Force=100N
• Area=25sq.cm

Convert it to sq.m

$\\ \sf\longmapsto 25cm^2=25\times 0.0001$

$\\ \sf\longmapsto 25cm^2=0.0025m^2$

We know that

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

$\\ \sf\longmapsto Pressure=\dfrac{100}{0.0025}$

$\\ \sf\longmapsto Pressure=40000N/m^2$

$\\ \sf\longmapsto Pressure=40000Pa$