Question

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.

Answer 1

3893.99675 N

Step-by-step explanation:

`F_1` = 125 N

`A_1` =
`\pi 1.075^2`

`A_2` =
`\pi 6^2`

From Pascal's law

`(F_1)/(A_1)=(F_2)/(A_2)\\\Rightarrow F_2=(F_1* A_2)/(A_1)\\\Rightarrow F_2=(125* 6^2)/(1.075^2)\\\Rightarrow F_2=3893.99675\ N`

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