- #1

Daan van Driel

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## Homework Statement

An pillow is inflated with an pressure of let's say 20 hPa. Afterwards we place a weight of 10 Kg on the pillow, what is the pressure increase within the pillow?

P athmosthere = 1013 hPa

P cushion = 1013 + 20 = 1033 hPa

m = 10 Kg

g = 9.81 m/s^2

Amount of air in the pillow stays the same

## Homework Equations

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Boyle's law: P1 * V1 = P2 * V2

Gravitational force: F = m * g

Pressure: P = F / A

## The Attempt at a Solution

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The added weight creates a force F. This creates an apposing force within the pillow (Newton's third law) which is devided over the enitre inner surface of the pillow. Therefore P = F / A = m * g / A.

Lets assume that the surface area of the pillow is equal to 300 cm^2. P = (10 * 9.81) / 0.03 = 3270

Would this be right? If so, how do I translate this 3270 back to the pressure difference between P2 ane P3?