Recent content by MigMRF

  1. M

    Box on treadmill connected to a spring

    First i show the sketch of the setup: My first attempt was just to balance out the forces on the box. On the sketch below i have shown the situation where the spring is stretched distance L. In this situation we get the equations: Which when solved leads to All good. I then looked at the...
  2. M

    Lorentzian line profile of emitted radiation

    First of all i tried to follow the textbook. Here they start of by modelling the atom as an harmonic oscilator: Then they find the solution as: They neglect the second term as omega_0 >> gamma which also makes good sense so they end up with: So far so good. After this they state the...
  3. M

    Partition Function for system with 3 energy levels

    I determined the partition function of the particle A, B and C. C should be the same as B. I then considered the situation, where all particles are in the system at the same time, and drew a diagram of all possible arrangements: The grey boxes are the different partitions, given that we...
  4. M

    Force between two neodymium permanent magnets

    Well, thanks anyways. Might to it experimentally then and end up with a inverse square or cube relation.
  5. M

    Force between two neodymium permanent magnets

    Thanks for the quick reply :) Sadly I'm looking for a way to calculate the first question, how two magnets interact and what force magnet 1 will apply to magnet 2. Correct me if I'm wrong, but are you saying, that i should let one of the magnets "act" like the B-Field and then let the second...
  6. M

    Force between two neodymium permanent magnets

    So I was wondering how I calculate the magnetic force between two magnets. When we learned about magnets, we only covered magnetic fields and electricity (laplace's law) and how electricity can create a B-Field. But how will two B-fields (or magnets) affect each other? Is there a simple formula...
  7. M

    B Need someone with some good CAS

    Trying to figure out how to model a rocket, and I got some pretty decent flight formulas. The only thing i need is to calculate how fast the masse is expelled. Found an article: (https://www.researchgate.net/publication/253753714_Analysis_of_a_water-propelled_rocket_A_problem_in_honors_physics)...
  8. M

    Modeling a ball thrown vertically including drag from air resistance

    Thanks! It looks better this way, that's for sure :)
  9. M

    Modeling a ball thrown vertically including drag from air resistance

    Well not from the math, but it pretty sure it does looking at it from a graphical point of view. In this example I've plottet the same things as before but with an v_0-g*t graph and they are pretty close. When you increase the mass they get closer and closer (drag goes down) while an increase...
  10. M

    Modeling a ball thrown vertically including drag from air resistance

    So I'm trying to figure out how to model a ball getting thrown vertically with the starting velocity v_0. So I've come up with a differential equation which I'm pretty sure is correct: Where D is a constant. So far so good. My problem is solving this. This is my attempt: And when i do this...
  11. M

    B Is there an analytical solution to this equation?

    So I've derived the rocket equation in empty space and with constant gravity. Now I am interested in adding air resistance. I'm aware that there are 2 different models as if 0<Re<1 then F_drag=k*v and if 1000<Re<30000 then F_drag=1/2*A*rho*CD*v^2. And for my purpose the second model is most...
  12. M

    Bernoulli's Equation and water rockets

    Yeah, that might actually be a solution. Just to make sure, when you write dv/dt are you saying v as velocity or do you mean V as in volume. It would make more sense if the change in volume with respect to time is related to the mass flow rate
  13. M

    Bernoulli's Equation and water rockets

    Ahh, thanks! That makes perfectly sense! I was wondering if there is a good model for pressure as a function of time?
  14. M

    Bernoulli's Equation and water rockets

    Indeed, but then it doesn't matter if there is 50 ml of water or 450 ml of water. This makes no sense to me tbh.
  15. M

    Bernoulli's Equation and water rockets

    So I'm playing around with some water rockets and I'm trying to figure out how fast the exhaust velocity of the water is. I've had an experimental approach using high fps camera to record and analyse (using tracker) the exhaust velocity. I'm using a 0,5 l soda bottle with 0,085 L ; 0,135 ; L...
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