Question

A force of 200 N (newton) acts on an area of 0.02 m2. Find the pressure5,000 N/m2

10,000 N/m2

15,000 N/m2

20,000 N/m2

5,000 N/m2
​

Answer 1

Answer:

Given :-

• A force of 200N acts on an area of 0.02 m².

To Find :-

• What is the pressure.

Formula Used :-

$\clubsuit$ Pressure Formula :

$\mapsto \sf\boxed{\bold{\pink{Pressure =\: \dfrac{Force}{Area}}}}$

Solution :-

Given :

$\bigstar\: \bf{Force =\: 200N}$

$\bigstar \: \bf{Area =\: 0.02\: m^2}$

According to the question by using the formula we get,

$\longrightarrow \sf Pressure =\: \dfrac{200}{0.02}$

$\longrightarrow \sf Pressure =\: \dfrac{200}{\dfrac{2}{100}}$

$\longrightarrow \sf Pressure =\: \dfrac{200}{1} \times \dfrac{100}{2}$

$\longrightarrow \sf Pressure =\: \dfrac{200 \times 100}{1 \times 2}$

$\longrightarrow \sf Pressure =\: \dfrac{\cancel{20000}}{\cancel{2}}$

$\longrightarrow \sf Pressure =\: \dfrac{10000}{1}$

$\longrightarrow \sf\bold{\red{Pressure =\: 10000\: N/m^2}}$

${\small{\bold{\purple{\underline{\therefore\: The\: pressure\: is\: 10000\: N/m^2\: .}}}}}$

Hence, the correct options is option no (a) 10000 N/m².

Answer 2

$\huge{\underline{\mathtt{\red{Q}\pink{U}\green{E}\blue{S}\purple{T}\orange{I}\red{O}\blue{N}}}}$

A force of 200 N (newton) acts on an area of 0.02 m2. Find the pressure5,000 N/m² ?

10,000 N/m²

15,000 N/m²

20,000 N/m²

5,000 N/m²

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

Formula Used :-

$\begin{gathered} \sf\boxed{\bold{\orange{Pressure =\: \dfrac{Force}{Area}}}}\\\end{gathered}$

$\bf{Force =\: 200N}$

$\bf{Area =\: 0.02\: m^2}$

$\sf Pressure =\: \dfrac{200}{0.02}$

$\sf Pressure =\: \dfrac{200}{\dfrac{2}{100}}$

$\sf Pressure =\: \dfrac{200}{1} \times \dfrac{100}{2}$

$\sf Pressure =\: \dfrac{200 \times 100}{1 \times 2}$

$\sf Pressure =\: \dfrac{\cancel{20000}}{\cancel{2}}$

$\sf Pressure =\: \dfrac{10000}{1}$

10000 N / m²

• Option a) is correct