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(I) What is the magnitude of the momentum of a 28-g sparrow flying with a speed of 8.4 m/s?
(I) A 7150-kg railroad car travels alone on a level frictionless track with a constant speed of 15.0 m/s. A 3350-kg load, initially at rest, is dropped onto the car. What will be the car's new speed?
(I) A 110-kg tackler moving at 2.5 ms meets head-on (and holds on to) an 82-kg halfback moving at 5.0 m/s. What will be their mutual speed immediately after the collision?
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welcome to our third example video looking at radioactive decay. In this video, we're going to consider carbon 14, and we're going to find out that it has a half life of 5000, 730 years, which means every 5730 years carbon 14 is going to lose half of the mass that it started with or it will have half the mass that it started with. Remember, this happens slowly over time, not all at once. Let's ask ourselves, though, So if we have 10,000 years, we go through 10,000 years. What percentage of our original sample is left over? We can go ahead and say that we have 100 g, though we really don't need to put an amount here in order to find a percentage, we can then say end of tea is equal to and not which is 0.1 kg. We'll apply it by. We can use our simpler formula here and put in one half good. I'm, uh, to the negative 10,000 years divided by 5730. Now that we have this, what we can then do is calculate what is gonna happen here. So, typing in these numbers, we have 0.1 times one half to the negative. 10,000, divided by 5730. This gives us a result of 0.2 98 kilograms or, in other words, 29.8 g. So we have about 30% 30% of our sample remaining. So not bad after 10,000 years to still have 30% left. But definitely, if we were to go to say 100,000 years, it would be significantly less than 30%.
Condensed Matter Physics