A large man sits on a four-legged chair with his feet off the floor. The combined mass of the man and chair is 95.0 kg. If the chair legs are circular and have a radius of 0.600 cm at the bottom, what pressure does each leg exert on the floor?

Respuesta :

Answer:

Pressure, [tex]P=2.05\times 10^6\ Pa[/tex]

Explanation:

Given that,

The combined mass of the man and chair is 95.0 kg, m = 95 kg

The radius of the circular leg of the chair, r = 0.6 cm

Area of the 4 legs of the chair, [tex]A=4\times \pi r^2[/tex]

Let P is the pressure each leg exert on the floor. The total force acting per unit area is called pressure exerted. Its expression is given by :

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

[tex]P=\dfrac{mg}{4\times \pi r^2}[/tex]

[tex]P=\dfrac{95\times 9.8}{4\times \pi (0.6\times 10^{-2})^2}[/tex]

[tex]P=2.05\times 10^6\ Pa[/tex]

So, the pressure exerted by each leg on the floor is [tex]2.05\times 10^6\ Pa[/tex]. Hence, this is the required solution.