Question

A model weighing 45 kg is standing on a pencil heel each having an area of cross- section of 2 cm square. Calculate the pressure exerted on the floor.(Acceleration due to gravity-10m/s²)​

Answer 1

Given :  A model weighing 45 kg is standing on a pencil heel each having an area of cross- section of 2 cm square

To Find : the pressure exerted on the floor.

Solution:

Pressure = Force / Area

Force = ma

m = mass = 45 kg

a = g = 10 m/s²

Force = 45 * 10  = 450 N

standing on a pencil heel each having an area of cross- section of 2 cm square

Area = 2 * 2 cm² = 4cm²

= 4 * 10⁻⁴ m²

Pressure =  450 / (4 * 10⁻⁴)

= 112.5 * 10⁴  N/m²

= 1.125 * 10⁶ N/m²

= 1.125 MPa

MPa = Mega Pascal

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Answer 2

45 kg model is standing on pencil hell each having cross-section of 2 cm².

Now, total area of two heels (for two legs)

$= 2 \times 2 = 4 {cm}^{2} = 4 \times {10}^{ - 4} \: {m}^{2}$

Now, pressure will be :

$P = \dfrac{F}{area}$

$\implies P = \dfrac{mg}{area}$

$\implies P = \dfrac{45 \times 10}{4 \times {10}^{ - 4} }$

$\implies P = 11.25 \times {10}^{5}$

$\implies P = 1.125 \times {10}^{6} \: Pa$

$\implies P = 1.125 \: MPa$

So, pressure on ground is 1.125 MPa.