Alarge man sits on a four-legged chair with his feet off thefloor. the combined mass of the man and chair is 95.0 kg. if thechair legs are circular and have a radius of 0.400 cm at the bottom, what pressure does each legexert on the floor?

Explanation:

The total force exerted by the man on the chair is equal to his weight:

where m=95.0 kg is the man's mass and g=9.8 m/s^2. Substituting,

Since there are 4 legs, we can assume that the force is equally distributed over the 4 legs; so the force supported by each leg is

The radius of each leg is , so the area of each leg is

And the pressure exerted on each leg is equal to the ratio between the force supported by each leg and the area:

ι вєℓιєνє ιт ιѕ тнє fιяѕт ¢нσι¢є(α.)

нє ѕнσυℓ∂ ѕмιℓє ρσℓιтℓу αи∂ ѕρєαк тσ тнє ρєяѕσи ωнσ ιѕ ιитєяяυριиg αfтєя тнє ∂ιѕ¢υѕѕισи

нσρє ι ¢συℓ∂ нєℓρ.