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After a party the host pours the remnants of several bottles of wine into a jug. He then inserts a cork with a 2.15-cm diameter into the jug, placing it in direct contact with the wine. He is amazed when he pounds the cork into place that the bottom of the jug, with a 12-cm diameter, breaks away. show answer No Attempt Find the force that the liquid exerts on the bottom of the bottle when the host is pounding the cork with a 125-N force. Ignore the force caused by the weight of the wine.

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Answer:

3893.99675 N

Explanation:

[tex]F_1[/tex]  = 125 N

[tex]A_1[/tex] = [tex]\pi 1.075^2[/tex]

[tex]A_2[/tex] = [tex]\pi 6^2[/tex]

From Pascal's law

[tex]\dfrac{F_1}{A_1}=\dfrac{F_2}{A_2}\\\Rightarrow F_2=\dfrac{F_1\times A_2}{A_1}\\\Rightarrow F_2=\dfrac{125\times 6^2}{1.075^2}\\\Rightarrow F_2=3893.99675\ N[/tex]

The force that the liquid exerts on the bottom of the bottle is 3893.99675 N

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