Question

what will be force required to exert a pressure of 20000 pascal on an area of 1cm square?​

Answer 1

Given that:

• Pressure = 20000 pascal
• Area = 1 cm sq.

To calculate:

• Force

Solution:

• Force = 2 Newton

Using concepts:

• Pressure formula
• Formula to convert cm into m

Using formula:

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

• ${\small{\underline{\boxed{\sf{1 \: cm = \dfrac{1}{100} \: m}}}}}$

Full solution:

~ Firstly let us covert cm sq. into m sq.

$:\implies \sf 1 \: cm = \dfrac{1}{100} \: m \\ \\ :\implies \sf 1 \: cm^2 \: = \dfrac{1}{10000} \: m^2 \\ \\ :\implies \sf \therefore \: 1 \: cm^2 \: = 0.0001 \: m^2$

~ Now let's calculate force!

$:\implies \sf Pressure \: = \dfrac{Force}{Area} \\ \\ :\implies \sf 20000 = \dfrac{Force}{0.0001} \\ \\ :\implies \sf 20000 \times 0.0001 \: = Force \\ \\ :\implies \sf 2 \: = Force \\ \\ :\implies \sf Force \: = 2 \: Newton$

Therefore, force required to exert the given pressure is 2 Newton!

Answer 2

Given:-

Pressure=20000Pa

Area=1cm^2

$\\ \sf\hookrightarrow 0.0001m^2$

To find :-

Force Applied

Solution:-

We know that

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

$\\ \sf\hookrightarrow 20000=\dfrac{Force}{0.0001}$

$\\ \sf\hookrightarrow Force=20000\times 0.0001$

$\\ \sf\hookrightarrow Force=2N$