Question

A person has a mass of 60 kg.If each of his foot has a surface area of 125 cm^2, the pressure exerted on his feet when he is standing is g =10m/s^2​

Answer 1

Answer:

24,000 Pa

Explanation:

Given:

• Mass of a person (m) = 60 kg
• Surface area of each foot (A) = 125 cm² = 0.0125 m²

To find:

• Pressure when he is standing (P) = ?

Solution:

We remember, $\green{\sf{Pressure(P)\:=\:\dfrac{Force(F)}{Area(A)}}}$

Here, we have area i.e, 0.0125 m² we first need to find the force and then pressure.

Now, we also know that $\blue{\sf{Force(F)\:=\:mass(m)\:×\:acceleration(a)}}$

Here, we are not given with the acceleration but acceleration due to gravity (g) so we'll use it. So, mg = Weight which is also a force.

$\longrightarrow$ F = 60 × 10

$\longrightarrow$ F = 600 N

$\sf{\underline{\underline{\therefore\:Force\:is\:600\:Newton.}}}$

Now, we have to find the pressure. We know the area of each foot i.e, 0.0125 m² so,

for 2 foots it will be 2 × 0.0125 = 0.025 m²

$\:\::\implies\:\sf{Pressure\:=\:\dfrac{600}{0.025}}$

$\:$

$\:\::\implies\:\sf{Pressure\:=\:\dfrac{600\:×\:1000}{25}}$

$\:$

$\:\::\implies\:\sf{Pressure\:=\:\dfrac{120\:×\:1000}{5}}$

$\:$

$\:\::\implies\:\sf{Pressure\:=\:24,000\:N/m²}$

$\:$

$\sf{\large{\underline{\underline{\therefore \:Pressure\:=\:24000\:Pa\:or\:24\:kiloPascal}}}}$

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* 1 Pascal = 1 Newton/metre² *

* 1000 Pa = 1 kPa or 1 kilopascal *

Answer 2

$\red{\mid{\underline{\overline{\textbf{Answer}}}\mid}}$

Pressure = 24,000Pascal

$\red{\mid{\underline{\overline{\textbf{explanation}}}\mid}}$

Force is a push or a pull acting on an object.

It is defined as the product of mass and acceleration of a body.

$\bigstar \: \orange{\mid{\underline{\overline{\textbf{f = ma}}}\mid}}$

Pressure is the force applied on a unit area of an object. It is defined as the ratio of force applied to area.

$\bigstar \: \orange{\mid{\underline{\overline{\textbf{ P = f : a}}}\mid}}$

Force is measured in Newton's.

Pressure is measured in pascals.

$\blue{\mid{\underline{\overline{\textbf{Coming to question :-}}}\mid}}$

In this question we have been given mass of a person whose area of feet is given, we have to find the pressure on his feet.

In this question :-

• Area of one feet = 125cm^2 = 0.0125m^2
• Mass of person = 60kg
• Acceleration due to gravity = 10m/s^2

Now force on man = Its mass × Acceleration

$\mapsto \: 60 \times 10$

$\mapsto \: 600n$

Therefore force on person is 600N.

Now the pressure on person = Force / Area

Now in this case total area will be = 0.0125 × 2 , because humans have two feet.

Total surface area = 0.125 × 2 = 0.025m^2

Now the pressure on person :

$\mapsto \: p = \frac{600}{0.025}$

$\mapsto \: p = \frac{600 \times 1000}{25}$

$\mapsto \: p = \frac{600 \times \cancel 1000}{25}$

$\mapsto \: p = 600 \times 40 = 24000pa$

Therefore the pressure on person is 24,000pascal.

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BY SCIVIBHANSHU

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