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\bullet A 15.0 g bullet traveling horizontally at 865 $\mathrm{m} / \mathrm{s}$ passes through a tank containing 13.5 $\mathrm{kg}$ of water and emerges with a speed of 534 $\mathrm{m} / \mathrm{s}$ . What is the maximum temperature increase that the water could have as a result of this event?

The temperature of water increase by 0.0614 C"

Physics 101 Mechanics

Chapter 14

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

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Okay, So the question was asking for the changing temperature. Well, we know that initial speed was a 65 million per second, and the final speed is fun. And 34 meters per second. The mass for the bullet was 15 killed of 15 grams. The mass for the water is 13. Invite you also. We know nothing's, which is a subsidiary of water is 41 90 ju over. Killer Grant has Calvin okay, so well has taken ago. Ah, the question end. Let me see how to do is well, in order to figure out that a team we gotta know Q as well. So Q is unknown here, but we can't. You got que through. Ah, the equation for kinetic energy. Which is Katie. Okay. How do we figure out that kinetic energy like you not energy? Remember? It was from the bullet. Uh, the bully was shooting from the gun and reached the water with the final story. Or find the Terry premier sex be a percent. So that means the kinetic energy transfer into a heats during the process. And due to the energy conservation, all there's no energy loss. So basically all the kinetic energy that was burst from the bullets is converted into the heats in the water. Okay, so that's our basic idea behind his question. OK, so they're trying to figure out the energy first. We just won't have mass off the bullet times. The final speed square mine is the initial speed square. So that's the change in Connecticut engine. And this gold next page and l've you us que Taida is you go to one, have 15 grams on Swift in grand and 15 grands because of 15 times 10 to about 83 kilograms and times finals be was a 65 Uh, I'm sorry. It was 5 34 meters square Your second square? Yeah. Mines a 65 meters percent in square. Okay, It was never make, you know, a little bit better. That was bad. I don't know why that looks like one as a month or and this is OK, and they will give us such value, which is minus 3 3000 and 473 point. Oh, to you. Okay. Remember what I said. Now we can figure out you. Thank you. Plus the changing in tonight energy is equal 00 Why is that? Because I just like what I said. Do you conservation all of the energy? There's no energy loss during this process. So that's why the changing in total Ng's Joe. So it's Cuba's attention. You can Angie's, you go zero. So that simply means that que is he was minus changing canali engine, which is 3473 going all to Jeep. Okay. And now we also know the mass of the water and dismissive he for the water. So change. So the change in temperatures is simply you go to Q over EMC. Okay, which is 303,473 0.0 to ju over the mass. The mess will 3rd 10.5 kilograms. Tasked us of the city Heats wishes 41 90. Que procure Grant has Calvin, and they will give us The changing temperature is zero point 0614 Calvin. Okay. Oh, if you want to convert to the degree Celsius is also 0.614 degrees Celsius. Why's that? For example, everything about the initial temperature was ax okay in degree Celsius and, uh, final temperature is why ending re Celsius and we convert it both. The center too. Uh, Calvin would just give us X plus 273 come in. And this will be why, plus 173 caliber. So the change in temperature is just simply X plus 273 actually. So why from T finals with the I minus X plus 273 Calvin and I'll give us why my socks capital. Okay, which is the same for the grease RCIs, which is just y minus ass degrees else's. Okay, so the change in temperature doesn't change as a scale. The only difference is sometimes used, Calvin. And somehow you choose to use the resell sees, so that doesn't matter is zero 0.614 degrees houses old 0.3614 Well, for these questions, okay, it's a saying. I just want to clear out. It was some of you guys my on Aziz answer off the results here. And some of you guys my answer in zero point out in, um, job. Okay, so that's my answer for this question. Thank you.

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