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$\bullet$ $\bullet$ Crude oil with a bulk modulus of 2.35 GPa is leaking from a deep-sea well 2250 below the surface of the ocean, where the water pressure is $2.27 \times 10^{7}$ Pa. Suppose $35,600$ barrels of oil leak from the wellhead; assuming all that oil reaches the surface, how many barrels will it be on the surface?

$35,900$ barrels

Physics 101 Mechanics

Chapter 11

Elasticity and Periodic Motion

Equilibrium and Elasticity

Periodic Motion

Cornell University

University of Michigan - Ann Arbor

University of Sheffield

McMaster University

Lectures

04:12

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

02:18

In physics, an oscillation is the repetitive variation, typically in time, of some measure about a central value or between two or more different states. The oscillation may be periodic or aperiodic.

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Alright, guys, let's take a question. The question was asking us how many barrels will be on service. Okay, well, first we know the book marches. This is the ratio off changing pressure over the and a lot of strength. Just minus Topkapi over Delta Bi over Visa. We can get a change of body when you're simply equals minus Topkapi. Times initial volume over book modules and we're both marches is equal to 2.35 Giga Paschal, which is to going through five, has tension up. Nine ask and the changing pressure is 2.27 times 10 to 7 past initial water. You re considering the finish for U. S barrels is 35 and 600 barrels. Okay, so now configure dollar changing partner, which is simply plugging in value. We got minus 2.27 times since the power of seven Pasco times. The initial bottom, which is 35,000 and 600. And over the book Moges, which is you're going to revive Nice, gentle power and I pass Go and this will give us the change of wanting is equal to minus 243 point A. If we run into the 100 digits is about 9300 barrels. Okay, The inactive. Hear any came? There is the linkage off the oil. Okay, so? Well, we're looking for the The total barrels will be on the surface. So in his case, the neck is the necklace sign. Doesn't matter. We only care about the amount of the barrels that is changing, which is ever so very over that happy, which it will give us. I was the one minus 300 which is you go to 300. Okay, so the total barrels there would be on the service is the initial one. Plus the change you want in absolute value for him and his give us 3500 and 35,600 plus 300 and this will be you. Go to 35,000 and 900 barrels. Okay. So is 3500. I'm sorry. 35,000 and 900 barrels will be on the surface. And this my solution. Little question. Thank you.

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