Question

what force will be required to exert a pressure of 20000Pa on an area of 2 cm²
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Answer 1

Answer:

• 4 Newton is the required answer .

Explanation:

According to the Question

It is given that,

• Pressure Exerted ,P = 20000Pa
• Area ,A = 2cm²

we have to calculate the force required to exert the given pressure .

As we know that Pressure is calculated by the force acting per unit area .

Firstly we convert the unit here

→ A = 2/10000 m²

→ A = 0.0002 m²

Now, calculating the force exerted

• Pressure = Force/Area

On substituting the value we get

↠ 20000 = Force/0.0002

↠ Force = 20000 × 0.0002

↠ Force = 4 N

• Hence, the force acting is 4 Newton.

Answer 2

Given:-

• Pressure exerted =20000pa
• Area = 2cm²

To find:-

• Force acting on it.

Formula used:-

$\large\underline{ \green{ \boxed{\bf{ \implies \: \: \: \: \: \: \: \: \red{P= \frac{F}{m^2} }}}}}$

Where,

• P = Pressure exerted.
• F = Force
• m²= Unit of area

Solution:-

We know that the force is calculated by the formula given above. For calculating Force we multiply Area with Pressure exerted.

Hence,

First we need to calculate cm² to m² .

${1m}^{2} = {10000cm}^{2} \\ 1 {cm}^{2} = \frac{1}{10000} {m}^{2} \\ 2 {cm}^{2} = \frac{2}{10000} {m}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \: 0.0002 {m}^{2}$

Now we will use the formula

$\large\underline{\bf{F=P×a}}$

$\large\underline{\bf{F=20000×0.002}}$

$\large\underline{\bf{F=4N}}$

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