contestada

Three individuals stand with all of their weight on the heel of one foot: a man of weight 600 N and a heel area of 100 cm 2, a child of weight 200 N and a heel area of 25 cm 2, and woman of weight 450 N and a heel area of 2 cm 2. The one exerting the least pressure on the ground is

Respuesta :

Answer:

The man exerts the lease pressure on ground

Explanation:

Pressure is the force (F) applied per unit area (A).

[tex]P = \frac{F}{A}[/tex]

Let us find out the pressure for each individual.

1. For the man with weight (F) = 600N and heel area (A) = 100cm², the pressure on the ground ([tex]P_{m}[/tex]) is,

[tex]P_{m} = \frac{F}{A}[/tex]

[tex]P_{m} = \frac{600}{100} = 6 N/cm^{2}[/tex]

2. For the child with weight (F) = 200N and heel area (A) = 25cm², the pressure on the ground ([tex]P_{c}[/tex]) is,

[tex]P_{c} = \frac{200}{25} = 8 N/cm^{2}[/tex]

3. For the woman with weight (F) =450N and heel area (A) = 2cm², the pressure on the ground (P_{w}) is,

[tex]P_{w} = \frac{450}{2} = 225 N/cm^{2}[/tex]

Thus the man is exerting least pressure on the ground that is 6 N/cm².