Recent content by Mazimillion

  1. M

    How do energy and momentum conservation apply to relativistic rockets?

    Sorry I forgot to mention, your original assumption was correct. v' is the fixed speed at which the material is ejected.
  2. M

    How do energy and momentum conservation apply to relativistic rockets?

    Ah, of course. If material is ejected at constant velocity, then its velocity does not depend on dm2. However, as the mass of the rocket m1 is decreasing, it velocity v1 is dependent on m1, hence the differential of the entire term. Thus if dm2 is the mass of the ejected material, then dm1...
  3. M

    How do energy and momentum conservation apply to relativistic rockets?

    Hi. This one has been bugging me for a while. We briefly covered this in lectures getting just the main points with no derivations and I would like to fully understand this. I have a couple of questions and any help would be greatly appreciated. Homework Statement The main jist is this: A...
  4. M

    How Do You Determine the Width of a Gaussian Wavepacket in Real Space Over Time?

    Hi, this type of question has been confusing my slightly as of late, an a pointer in the right direction would be greatly appreciated Homework Statement The wavefunction associated with a Gaussian wavepacket propagating in free space can be shown to be [included as attachment - it's too...
  5. M

    What Are the Steps to Solve a Boundary Condition Problem with Three Conditions?

    Got it now Thanks a million, you've been a great help
  6. M

    What Are the Steps to Solve a Boundary Condition Problem with Three Conditions?

    Thanks for that - I've really made some progress. The only problem now is applying the boundary conditions on the x-axis. How do I apply both phi=0 for x<-a, x>a and phi=phi0 for -a<x<a? I'm probably missing something really simple but I've been pulling my hair out for ages. Thanks
  7. M

    What Are the Steps to Solve a Boundary Condition Problem with Three Conditions?

    Hi, this question has been bugging me for weeks and any help would be greatly appreciated. In lectures we derived a general expression for the potential distribution across the xy half plane (y>0) in terms of a known potential distribution along the boundary defined by the x-axis where the...
  8. M

    Thermodynamics (not too difficult apparently)

    Hi, I've been given a question and I'm just a bit unsure about how to proceed. "A compressor takes air at 300K and 1atm, and delivers compressed air at 2atm, using 200W of power. If the process is adiabatic and reversible, what is the rate that air is delivered, and what is the final...
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