Question

If a man applies a force of 14N on an area of 14 cm2, what will be the pressure produced by him?​

Answer 1

Given Information:

• Force applied (F) = 14 N

• Area = 14 $\sf { {cm}^{2} }$

Conversion of units to standard form:

$\sf{ \longrightarrow \: 1 \: {m}^{2} = 10000 \: {cm}^{2} } \\ \\ \sf{ \longrightarrow \: 1 \: {cm}^{2} = \dfrac{1}{10000} \: {m}^{2} } \\ \\ \sf{ \longrightarrow \: 14 \: {cm}^{2} = \dfrac{14}{10000} \: {m}^{2} } \\ \\ \sf{ \longrightarrow \: 14 \: {cm}^{2} = 0.0014 \: {m}^{2} }$

Now, area = 0.0014 m².

Solution:

By using the formula :

$\sf{ \longrightarrow \: P = \dfrac{F}{A} } \\ \\ \sf{ \longrightarrow \: Pressure = \dfrac{Force}{Area} } \\ \\ \sf{ \longrightarrow \: Pressure = \dfrac{14 \: N}{0.0014 \: {m}^{2} } } \\ \\ \sf{ \longrightarrow \: Pressure = \dfrac{(14 \times 10000) \: N}{14 \: {m}^{2} } } \\ \\ \sf{ \longrightarrow \: Pressure = \dfrac{140000 \: N}{14 \: {m}^{2} } } \\ \\ \longrightarrow \underline{\boxed { \sf{Pressure = 10000 \:N/ {m}^{2} }}} \: \red{ \bigstar}$

Henceforth,

• Pressure produced by him is 10000 N/m² or 10000 Pa or 10 kPa.

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Some more information :

• Pressure is defined as force applied per unit area.

• SI unit of pressure is Pa ( Pascal ).

• 1 Pascal = 1 N/m²

• If the area is less, pressure will be more.

• If the area is more, pressure will be less.

• If force is more, pressure will be more.