Don't feed the trolls
Rocket motors have a nozzle which forces the gas to accelerate. So there is no free expansion of the gas.
Not all rocket motors have nozzles. The "whistle rocket" for 4th of July is one example.
Rocket motors have a nozzle which forces the gas to accelerate. So there is no free expansion of the gas. -- Roger
Firing a gun on earth results in a recoil in the opposite direction..... In a rocket, the expanding gas produces recoil on the rocket inside the combustion chamber and the exhaust gas leaves through the nozzle. The recoil happens inside the chamber as well as in the engine bell as it's leaving.
Rocket engine combustion happens inside the chamber, which has one side open. It's not a closed chamber. The combustion sends gasses in all directions which put a force on anything they hit. Some go left, or right, or forwards, or backwards, etc. The left and right forces do cancel out because they're pushing the chamber in opposite directions, but those particles are still bouncing around in the chamber and will eventually assist in thrust. The combustion gasses that go forwards push on the rocket but they have no opposite force to cancel them out because the back of the chamber is open. So the recoil happens in the forwards direction.The fact we're talking about recoil happening inside the rocket's combustion chamber before leaving through the nozzle (which by definition is a restrictive structure) to me implies the fulcrum of the 'equal and opposite reaction' is happening 'inside' the rocket.... But surely, after the point of recoil, any impediment of the gas's momentum (ie. by the restrictive nozzle) will be absorbed by the rocket chassis itself, and all benefits (ie avoiding Free Expansion) will cancel themselves out in the F1 = -F2 equation??
Nope, all the momentum isn't absorbed, it's not a closed system. The amount of momentum leaving the open end of the rocket is equal to the momentum absorbed by the rocket. The particles leaving the back have very little mass but a HUGE velocity. Each particle adds a tiny velocity to the HUGE mass (by comparison) of the rocket. There is so much mass leaving the back of the rocket a enormous velocities that the rocket gains momentum.If, after the point of recoil, the rocket absorbs any of the gas's momentum this will make a 'closed system' and will immediately cancel out.
Your confusion is thinking that the impediment to gas momentum in a rocket is cancelled out. It's not.And I would argue that this will work on an inverse matching scale. ie. ANY amount of impediment to gas momentum by the rocket chassis, big or small, will likewise cancel out. On my skateboard, if I throw the bowling ball but it brushes my trailing foot as I travel on my way, the contradicting momentum will negatively impact my progress. If I brush the ball lightly it will slightly effect it. If I brush the ball heavily I may make no progress at all.
The rocket nozzle is used to direct the exhaust gasses in the proper direction, and pick up maximum momentum from these gasses. It's not "required to stop the exhaust gas Free Expanding in space". Once the gasses leave the engine bell they're no longer helpful to the rocket and they can expand into space. Or not, it doesn't matter.So, if the rocket nozzle is indeed required to stop the exhaust gas Free Expanding in space this, by definition, must be restricting the gasses progress. But any work done to stop the gas Expanding made by the rocket itself would absorb the gas's momentum into the chasis and be immediately subtracted from the system, under Newton's Third Law.
It's not a closed system, and the sum of all forces on the rocket are not equal to zero.Only the total momentum of the gas at the point of recoil, minus all subtractions due to impediment by the rocket chassis causing a 'closed system', could be said to produce force and movement under Newton's 3rd law. And since all work done to stop gas Free Expanding is subtractable from the equation F1 = -F2..... then aren't we left with free expanding gas in a vacuum with a force equal to zero???,
Oh I see. Hmmm perhaps I've been assuming some things are a 'given' when perhaps they aren't... leading to some confusion.
It all seems to hang on what Free Expansion actually is! I know Free Expansion is a law of gas dynamics. It was not formulated by Newton (who didn't work with gas, apparently) but by later scientists who formulated this and other energy equations about gas, which are now accepted as principles of science.
https://en.wikipedia.org/wiki/Free_expansion
The principal of Free Expansion, from what I gather, essentially causes gas to act in a specific way - a way distinct from solid objects like a bowling ball or a bullet from a gun. The properties of gas depend on pressure to such an extent that it behaves in a very special way in a zero pressure environment. It loses its physical properties in a pretty fundamental way (Illustrated, perhaps, by the fact all gas energy equations use Pressure in their calculations). To quote Wiki on this: 'During free expansion, no work is done by the gas.'
We shouldn't even use the term Free Expansion unless we are talking about the specific scenario of a Free Expansion experiment or theoretical scenario. The term Free Expansion does not refer to just any old situation where gas is expanding in a vacuum. It is a specific case in which gas is expanding from one volume into a larger volume, and no energy is allowed to enter or leave the chamber. (It is in fact impossible in the real world to create a Free Expansion scenario. No chamber is perfectly insulated. Energy will always flow into or out of the chamber.)
A lot of our technology is based on extracting power from the expansion of gases --- internal combustion engines, gas turbines, and rocket engines. They all exploit the fact that gases under pressure will expand to fill a larger volume at lower pressure, and you can harness the movement of that gas to do work --- you can pull energy out of the system. In a free expansion experiment, you would not be allowed to pull energy out of the system, but in reality we do it all the time.
Imagine an internal combustion engine with the tailpipe in a vacuum. It would still function pretty much the same way it would normally with atmospheric pressure, right? The fact that the exhaust expands into a vacuum does not mean it can't do work.
Imagine a gas turbine with a vacuum on the exhaust side. It still works pretty much the same as it does at sea level.
Same thing for a rocket motor. Just because there is vacuum on the exhaust side does not mean it suddenly stops working. It works pretty much the same as it does in the atmosphere.
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