Well, Hello again, we are here in this physics problem talking about tomatoes. So first part, we need to look up the calorie content of tomatoes. I saw something that said it was about 20-35 calories per tomato. So I opted to just say 30 kilocalories for tomato. Now, for part B. He made the mistake of trying to google what the typical plant outside, what the typical leaf area was on a tomato plant and ended up finding a lot of scholarly articles. So after some failed searching, I just decided to assume that the area was a quarter of a meter. I really don't have a good feel for tomato plants. So I went with a quarter of a square meter now, part C. So in this case, if we've got a quarter of a meter of area and our light intensity is 800 watts, then we're looking at a power of 200 watts because it's one quarter of 800 eighth here, We assume that really only 5% of the total energy here is useful. And so that means we're really only getting 5% of 200 5% of 200 There's just 10 watts. So we've got 10 watts or 10 jewels per second. I'm gonna write it that way because then we have to work with it in terms of jones. Now, part E. We need to figure out how many photons per tomato per second we're getting. So actually a little bit more ranks is kind of little bit of meth that I've got to do a little bit of calculation to show party. So the energy contained in a photon right this way East of New is given by plank's constant times the frequency. But frequency can also be written as speed of light divided by wavelength. And so when we do this, we plug all these values in Planck's constant. 6626 Times 10 to the negative 34th Time Speed of Light which is three times 10 to the positive 8th. And then we got to divide that by the wavelength which is very very small. 600 Times 10 to the -9. Is that the same? The others? And when we actually punch that into a calculator we get 3.313 times 10 to the negative 19 jewels 19. So that's how many jewels we have per photon. That's jules. Her photon not very much and that's kind of what we should expect. So now if we've got 10 jewels per second coming in then the number of photons which alright ends up news, it's going to be equal to 10 divided by the number we just found 3313 Times 10 to the -19. When you do that, you get 3.18 times tend to be What did I find? 10 to the 19th? Photons per second. That's photons per second. It's not fun. We're not having Vietnamese noodle soup here. Photons per second. Okay. Yeah, I guess if that was to be a little bit too much noodle soup for anyone. Three times 10 to the 19th. All right. So assuming that is than the total number of photons that are hitting this plant. Now, we we need to assume that only about half of those are actually going into uh actually making tomatoes. So we cut that in half right away. So the number we're interested in, We cut that in half and we get about 1.5 Times 10 to the 19th per second. Going to um Making tomatoes, but then there's 10 tomatoes. So that gets cut in half And we get one side doesn't get cut in half. We drop a power of 10. We divide that by 10 And we have 1.5 times 10 to the 18th photons per second per tomato, the middle one. Right? So that is that. So now part F. We need to figure out how many photons it takes total just to make a tomato. And the answer is a lot. I mean a lot, a lot calculated this earlier kind of a big number. Oh come on now, just trying to shrink all of this work down. If it will let me select it. There we go. Oh okay, whatever. We'll just move it up. All right, saddle away. Now, sometimes that's all you can ask for. What? S we are assuming We've got 30 killer cows, Which is 30 times 4,186 jewels. You get 125,580 jewels for a tomato. It's a lot of rules now, we need to take that and we need to divide it. So the number of photons down here, it's going to be given by this total amount of energy divided by the number of jules per photon. Because we want to get jules per tomato. I'm sorry, photons per tomato. So we're gonna take this big number, 125,580. We're going to divide it by the energy of a single photon. 3313 Ties down the neck of 19th. And so this number down below is jules per photon. A number of top is jules total. So when we do this, we're going to get a number of photons and we get 3.79 Times 10 to the 23rd photons. That's a lot of photons. So for part G. Now we want to know how long it takes to grow a tomato. So we're going to take that total number of photons found in part F. And we're going to divide it by the number of photons that we had per second per tomato. And we're going to find how many seconds it takes to grow tomato, then we can turn that into a number of days, weeks, whatever. So part G. We're really just taking the answer and F. And dividing it by the answer. Andy and then doing some unit conversions. So this turns into 3 7, 9 times 10 to the 23rd. That was photons per tomato divided by 1.5 times 10 to the 18th photons per tomato per second, That gives us 2.53 Times 10 to the 5th seconds. Yeah. Now if you want to convert that two hours, you simply take that number and divide it by 3600. And I find I found when I did this earlier that this is about 70 hours per tomato. And if the sun shining 12 hours a day, that's roughly six days to grow a tomato, I think that's a little bit faster than it happens. I have never grown tomatoes, never been on a farm of any kind. Um But six days sounds a little fast. If I had to guess the real problem was that my estimate of the area at a quarter metre squared was probably too big. It was probably too much area. I can't say by how much, but if the area where even just a quarter of that in actuality, then that would mean it would take four times as long to grow tomato, and I don't know about you. But 20, days to grow a tomato sounds more reasonable than six, so that's my feedback on that. But the rest of the problem is fine. The math itself works out. It's just that quarter square meter was probably too much, and that should complete it for you. Have a good one.