-skee.â
âOh!â said Scott. âSo itâs in Russian? No wonder we donât understand.â
Mark rolled his eyes. âMath is a universal language, dummy. Uh . . . , isnât that right, Barry?â
âMore or less,â said Barry. âNow shut upâexcuse me, be quiet âand I will explain. So you guys get velocity, right? Itâs the speed of something in a particular direction. And that little triangle is a delta sign, which means change. So the left half of the equation is change in velocity. Are you with me so far?â
Scott and Mark nodded.
âSo the other half of the equation is the exhaust velocityâin other words, how fast the exhaust is spewing out of the rocketâs nozzle. You multiply that times theinitial mass of the rocket, which includes the fuel in the rocket, and then divide it by the final mass of the rocket, which is whatâs left after the fuel has burned off. Then that number gets multiplied by the natural log function, and it equals the change in velocityâthe left part of the equation.â
A lightbulb flashed in Markâs brain. The bulb was only about as big as a firefly, but it was definitely switched on. âSo the rocket flies, and as it flies, its mass shrinks because part of its mass was fuel that has burned off in the exhaust?â Mark said. âAnd as the mass gets smaller, there is less fuel available but, at the same time, it takes less fuel to propel it. Is that right?â
âYes!â said Barry.
âBut whatâs this natural log business? It sounds like it has something to do with a fireplace,â Scott asked.
âIn this case itâs a constant to describe something that changes continuously over time,â Barry said. âSo the mass of the fuel is changing and affecting the velocity not just moment by moment, but also all the moments in between. The natural log is a mathematical way to describe that.â
Mark sighed. âIf you say so.â
âItâs Tsiolkovsky who said so,â said Egg.
âIn Russian,â Scott reminded them. âBut why do you want to know this again?â
âIt tells you most of what you need to know to puta rocket in space,â Egg said. âHow much fuel you need, how massive your rocket and your capsule can be, and how fast you can go. Itâs pretty cool.â
By this time lunch was over, the last lemonade drop drunk and cookie crumb devoured. Grandpa Joe had listened for a while but then gone back into the house to work on todayâs remodeling project, a new tile floor in the bathroom. After clearing their dishes and washing up, the kids headed back to the workshop.
CHAPTER 20
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Eggâs idea was that they make an inventoryâa listâof all the items in the workshop, then cross-reference it with what they thought they would need. At that point, they could go back to Nando and see what additional supplies he might be able to provide.
âWe also need to inventory our skill set,â Egg said.
Mark looked at the other kids one by one, then asked, âDoes everybody else understand her all the time?â
Egg rolled her eyes. âAll I mean is, we figure out what each of us knows how to do so we know what help weâll have to ask for. Like, Howard can program a computer. But besides that thereâs going to be metal fabrication, and soldering, and wiring, and plumbing . . . and on and on.â
âI can weld,â said Lisa.
âYou can?â Scott said. âCan you teach us?â
Lisa looked at her toes and nodded.
âThat is so cool!â said Mark. âHow does welding work, exactly?â
Lisa thought for a second. âBasically, youâre using an arc of electricity to melt metal and make glue out of it. Then the glue sticks two pieces of metal together.â
âIs it hard?â Egg asked.
âItâs hard to do neatly,â said Lisa.
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