Noting that pressure is a force over a area (P=F/A, and the equation for gravitational force is F = m x g (where m is the masses of a person in kilograms and g=9.8m/s^2), what pressure [in N/m^2, which is also called Pascal (Pa) ] would be exerted if a 65 kg person were sitting on a stool with a seat diameter of 12 inches?

Question

Chemistry

Mikayla Donovan

10 August, 02:50

Noting that pressure is a force over a area (P=F/A, and the equation for gravitational force is F = m x g (where m is the masses of a person in kilograms and g=9.8m/s^2), what pressure [in N/m^2, which is also called Pascal (Pa) ] would be exerted if a 65 kg person were sitting on a stool with a seat diameter of 12 inches?

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Answers (1)

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Brogan Hoffman · Answer 1

dа ta:

m = 65 kg

g = 9.8 m/s^2

seat diameter = 12 inches

Formulas:

P = F / A

F = m * g

=> P = (m * g) / A

Area = π * (diameter/2) ^2

Conversion of units

seat diameter = 12 inches * 0.0254 m / inch = 0.3048 m

Solution:

P = 65 kg * 9.8 m/s^2 / [π * (0.3048/2) ^2] = 8,730 Pa

Answer: 8,730 Pa