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An 8.50 kg block of ice at $0^{\circ} \mathrm{C}$ is sliding on a rough horizontal icehouse floor (also at $0^{\circ} \mathrm{C} )$ at 15.0 $\mathrm{m} / \mathrm{s} .$ Assume that half of any heat generated goes into the floor and the rest goes into the ice. (a) How much ice melts after the speed of the ice has been reduced to 10.0 $\mathrm{m} / \mathrm{s} ?$ (b) What is the maximum amount of ice that will melt?

a) 0.795 $\mathrm{g}$b) 1.43 $\mathrm{g}$

Physics 101 Mechanics

Chapter 14

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

Cornell University

University of Washington

Simon Fraser University

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our fastest. OK, the first question first question was asking us how much Isil, Mel, the speed reduced to tam meter per second. While first that's trying. If you got the amount of keynote, Andrew was produced for the April invited over and eyes sliding around 15 meters per second to 10 year Persik. Well, it's a simply equal to this equation, which we'll have em we buy elsewhere. Mass we I square. We find that the final speed we as the initial speed. If we plug in a number, we'll get something on that and was talking about Have, although he over the he generated closing to four in the rest go single eyes, which means they're only half off the this amount of kinetic energy was turning into heat. Okay, so it means that Q Is he going toe have. Okay, Okay, which is equal to have times half times a point by kill Gran Times 50. Sorry. 10 meter per second square, minus 15 meter her second square. And this will give us 200 and 65.6 to 5 to you in order to figure out how much I suppose Mao into her. We need to get a later heat off allies, which is equal to 334 times 10 to the power three. Do you per kilogram? Okay. And they will give us m just simply you go to Q. Do you have a hell, which is 265 pointing 6 to 5. 26 to 5 ju over a later he which is 300 and 34 times 10 to the power of three ju perk. You'll kill where? Okay, and they would give us 0.795 killed brand, which is and you go to 0.79 by grams. It's the answer for the 1st 1 and for the last one was asking, What's the maximum amount of ice that can beam out drawn this kind of ah movement. Okay, while north to mail the most off the ice, that means, you know and he must be the maximum. How can I can add energy be produced in a massive away? Well, if well, the only words to produce the maximum energy is to consume all of speak, which means that since the initial velocity was 15 meters per second. That means the final velocity has to be zero. So they can have that energy can be Mexico. Okay, so which will give us that? The maximum kinetic energy about her for it will be 1/2. I m times we final square minus. We unusual. Scare square. Okay? And I'll give us. He had the energy maximum you go to, we'll have em minus B I square. Okay, which is, you know, the engine max PC. Go to 1/2 and inactive. 15 meter per second square, which is equal to then you plug in that mass, which is a point by Qwilleran. Okay, so a point group, uh, So you were planning a rally? Will get 8.50 kill over and times 15 meter per second square. Okay, They will give us 956 going to buy to you for the maximum Kennedy. And she and half of looking at energy was transferred to heat solo. He maximum we go to I want half of this, okay? And they'll give us 278 0.1 to fire you. Okay, so the maximum otherwise I can be male down, will be able to the Q. Max. You are by the later heat off the ice. We should give us hundreds of the eight only ones who vied. You do you have? By 334 has 10 topo three Geo her Children, which is equal to double check. Zero point 00 1432 kilograms. Well, we convert to grams. It's one point for three to Gramps. So that's the maximum amount of ice we can nail down. Thank you. That's my answer for this question.

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