From: BURT on 28 May 2010 19:43 On May 28, 6:46 am, PD <thedraperfam...(a)gmail.com> wrote: > On May 28, 4:02 am, boltar2...(a)boltar.world wrote: > > > > > > > On Thu, 27 May 2010 12:14:39 -0700 (PDT) > > > Timo Nieminen <t...(a)physics.uq.edu.au> wrote: > > >Maybe it's time to sit down and do the calculation? Try it, and you'll > > >see that this isn't a problem. > > > >The faster the rocket goes, the more KE the unexhausted exhaust starts > > >with. When the rocket goes faster than the exhaust, the change in the > > >KE of the exhaust is larger than when the rocket goes at the speed of > > >the exhaust, even if the final KE of the exhaust in not-zero. > > > >If this troubles you, do some examples yourself. Many examples. Try > > >the completely inelastic collision problem (i.e., where the two > > >colliding bodies stick together). Start with the same relative speed > > >between the two bodies, but with different speeds for the bodies. For > > >the different speeds, the KE of each body, and the total KE, will be > > >different. The final KE will be different. But in all cases, > > >KE_initial - KE_final =3D the same value, the amount of energy lost in > > >the collision. (Where "lost" means converted to other forms of > > >energy.) > > > Ok , I understand now. A good explanation , thank you. > > > I still can't figure out how it works when what provides the force doesn't > > have any mass itself such as some sort of field however since then the field > > won't have any KE to start with to donate to the rocket. > > This is a misconception. Fields are deemed to be physical entities > partly because they do exhibit important physical properties like > stored energy and momentum. You might ask how they do that if they > don't have mass. You may have been misled that the momentum of > ANYTHING is defined as mass times velocity, or that the kinetic energy > of ANYTHING is half the mass times the velocity squared. If you got > that impression, then it was an unfortunate mistake. That rule for > momentum works only for massive objects and even then only for those > moving slowly (compared to the speed of light). There are different > rules for finding momentum for other kinds of physical entities. > > > > > > > >This isn't at all new. The equivalence of coordinate systems was > > >discussed by Newton and Galileo. But it has been confusing students > > >for hundreds of years. You don't have to take it on faith; you can try > > >it for yourself, and caculate examples, solve problems, until you see > > >how it works. That's one purpose of those long lists of end-of-chapter > > >problems. > > > I know its true. I'm not one of these nutters trying to prove it to be false, I > > just didn't understand why it was true :) > > > B2003- Hide quoted text - > > - Show quoted text -- Hide quoted text - > > - Show quoted text - Fields are forces all with a finite range. No force has an infinite range. Strong is the smallest field followed by the electric then magnetic field aether then gravity with the longest range. Mitch Raemsch
From: John Polasek on 2 Jun 2010 17:47
On Wed, 26 May 2010 14:16:03 +0000 (UTC), boltar2003(a)boltar.world wrote: >Before anyone asks , no this isn't some school project I'm working on. Its >a simple problem I can't figure out for myself. > >If you have a rocket motor giving a constant thrust then the rocket - not >accounting for weight change due to fuel use - will accelerate at a constant >rate. However if say its accelerating at 1m/s/s then it will take twice as >long to accelerate from 2 m/s to 4 m/s as it did to get from 1 m/s to 2 m/s. >Yet going by 0.5 mv^2 the kinetic energy for a rocket weighing 1 kilo at the >given speeds is: > >1 m/s = 0.5J >2 m/s = 2J >4 m/s = 8J > >So in the first second it gained 1.5J but in the next 2 seconds it gained >6J. I don't get it? The motor wasn't putting out any extra energy so where >did it come from? > >B2003 > With constant thrust, the power output is proportional to the velocity W = FV force times velocity so the power output is definitely not a constant. At 100 m per second the power is 100 times what it is at 1 m per second, relative to the Observer. W = FV = FAT (A = constant acceleration) Energy equals FA* integral TdT = FAT^2/2 = FX equals force times distance traversed. Constant thrust is kind of tricky. John Polasek |