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A crass host pours the remnants of several bottles of wine into a jug after a party. He then inserts a cork with a 1.60 diameter into the bottle, placing it in dire...

Question

A crass host pours the remnants of several bottles of wine into a jug after a party. He then inserts a cork with a 1.60 diameter into the bottle, placing it in direct contact with the wine. He is amazed when he pounds the cork into place and the bottom of the jug (with a 17.0 cm diameter) breaks away. Calculate the extra force (in N) exerted against the bottom if he pounded the cork with a 120 N force.

A crass host pours the remnants of several bottles of wine into a jug after a party. He then inserts a cork with a 1.60 diameter into the bottle, placing it in direct contact with the wine. He is amazed when he pounds the cork into place and the bottom of the jug (with a 17.0 cm diameter) breaks away. Calculate the extra force (in N) exerted against the bottom if he pounded the cork with a 120 N force.



Answers

A circular wine barrel 75 cm in diameter will burst if the net
upward force exerted on the top of the barrel is 643 N. A tube
1.0 cm in diameter extends into the barrel through a hole in the
top, as indicated in Figure 15-38. Initially, the barrel is filled to
the top and the tube is empty above that level. What weight of
water must be poured into the tube in order to burst the barrel?

According to Pascal's principle, pressure equals F one over a one papers after over there, too, so we can find that if two over f one big waas a do over a one. It was by day do square over four, divided by by the one square over full. It was due to over the want square. It was 14 over. Toe squared equals 49. So we can find that if two speakers 49 f one equals 49 times 120 New gun It was five 88 Siddle new done. So that excess force is 5.8 kiddo. New gun.

Hi, everyone. We know that pressure is defined us force upon area. Right? So your force will be pressured into area. Pressure is defined us have fun upon even into a even is fight. Do you wanna square by food? On It will be by day two is square by four So we can write Day two upon Dave Unholy square in tow F one now substituting the value so I have to force you will get due to a pawned, even 14 upon toe Holy square in two f That is 1 20. So you will get 588 year old nuclear, That's all. Thanks for watching it.

Question Number 49. We know that the bulk models is given us, uh, Delta P pressure into original volume. Upon change in volume, the bulk models for the grape juice is 1.8 into 10 to the power nine possible. This is equal to Delta Pink, and Delta V is 0.2% off the original way. So from this, we will get Delta P. Is the photo 3.6 into 10 to the power to Newton, but Sentiment Terrace, where

So the question here the secular wine barrel, 75 centimeters in diameter will burst. The net upward force exists on the top about is 643 Newton's. So let's not consider any complicated barrel. Ships were just modeling a cylinder here, 75 centimeters in diameter. We know the total burst. That force is 643 mutants. It's you of diameter one centimeter. We really don't need to draw this very accurately. Just or two in that So extends into the barrel through a hole in the top has indicated by the figure that you are given in the textbook on the crudely drawn one I've given for you here. Initially, the barrels filled to the top in the tube is empty. Above that level, what weight of water must be poured into the tube? You know, tough for the about dressed. There's an excellent question. So what really, do we ascertain from our figures? We never the top of the barrel is going to burst if this force is applied to it. So what's the breaking pressure That's gonna be which is 643. Newton's divided by the area of the top of the barrel 75 centimeter diameter 37 45 centimeter radius no 0.375 in beaches. Always good to do that the right way. We square this two pi r squared and we have essentially our figure. We don't need to worry about this too much in terms of working it out, because we also know that the braking pressure it's gonna be the same pressure realize really on the height you are. So if we're pouring water into that top two, we're just worried about pressure that we gain at the bottom of that, too. Exerting pressure, really breaking is gonna be equal to the weight of the water in the two divided by the area of the two. And we can set these equivalent to each other. And through a very, very simple piece of rearranging, you can then see that the weight of wards they're required. It's just gonna be equal to 643 turns the area in the chute divided by fight. No 0.3 75 squares. You're right that I once again 643. All right, now we're going for the area that you remembering that we now have the diameter of the tube to consider the tubes diameter it's given to us in the textbook. It's one sent to me. The radius is five millimeters. No point no No. Five meeting squared on the job. Divide this by pi. No 0.3 75 squared on the Boston course. Those pies cancer so becomes slightly easier on a calculator. But we are stalling, so we do want to dance to this. It's the weight of water required to break the barrel. From this. You put all these values into a calculator. No 0.1 one. Newton's not very much and goes to show you that these pressure differences really do make a difference with pressure, but defines whether things will break localized pressure rather than overall force.


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