3. -1 points My Notes Ask Your Teac A cylindrical barrel is completely full of w

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3. -1 points My Notes Ask Your Teac A cylindrical barrel is completely full of water and sealed at the top except for a narrow tube extending vertically through the lid. The barrel has a diameter of 80.0 cm, while the tube has a diameter of 0.900 cm. You can cause the lid to pop off by pouring a relatively small amount of water into the tube. To what height do you need to add water to the tube to get the lid to pop off the barrel? The lid pops off when the vector sum of the force of the atmosphere pushing down on the top of the lid and the force of the water pushing up on the bottom of the lid is 250 N up. Also, use g = 9.8 m/s2. The height of water in the tube is cm. Additional Materials eBook

Explanation / Answer

radius of barrel, r = d/2 = 80/2 = 40 cm = 0.4 m

net force acting on the lid,
Fnet = (Pin - Pout)*A

250 = (Po + rho*g*h - Po)*A

250 = rho*g*h*A

h = 250/(tho*g*A)

= 250/(1000*9.8*pi*0.4^2)

= 0.0507 m

= 5.07 cm

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