You fill a glass with water, cover the mouth with a piece of paper (assumed to b

Question

You fill a glass with water, cover the mouth with a piece of paper (assumed to be negligible mass), flip it upside down, and observe no water leaking out of the glass. The diameter of the cylindrical glass is 7 cm. The density of the water is 1000 kg/m3 and the air preassure is 8.40x104Pa

A) You want to try this trick with the deepest glass possible. If the glass is completly filled with water, what is the maximun depth for the trick to work?

B) Now, you want to try this experiment in a vacuum chamber where you can adjust the preassure to whatever value you want. That is the lowest preassure for which this trick would still work, if you were given a glass with depth 10 cm?

Explanation / Answer

a)

by balencing force

P*A=rho*V*g

P*A=rho*(A*h)*g

p=rho*h*g

8.4*10^4=10^3*h*9.8

====>.
h=8.571 m

b)

P*A=rho**A*h)*g

P=rho*h*g

=10^3*10*10^-2*9.8

=980 Pascal

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