Recent content by krab

  1. krab

    Derivative of inverse hyperbolic trigonometric functions

    There is no error. StatusX used sin x instead of sinh x as an example.
  2. krab

    Measuring the potential of the atmosphere

    Insulated conductor is a conductor that is not connected by another conductor to anything else. Any time there is a potential difference between two conductors there are excess charges. When you connect the two together, charges flow from one to the other until the potential difference is zero.
  3. krab

    Terminal Velocity of Projectile

    Both of the last 2 posters re-stated what RbrtPtikLeoSeny was asking confirmation for: So what exactly is the point you are making?
  4. krab

    Terminal Velocity of Projectile

    No, your instincts are correct, you friend's are not. If you fire a BB too fast, the air resistance will melt it. But that would be a lot faster than 1800fps. And, Botemp, the air friction is proportional to the _square_ of velocity.
  5. krab

    Why Doesn't the Moon Fall When Orbiting Earth?

    Simplest demo is to take a pendulum. With no sideways velocity, it passes through centre. This is equivalent to moon hitting the earth. If it has just the right sideways speed, it will travel in a circle with this sideways speed continually. That's analogous to what the moon is actually doing...
  6. krab

    Zero Times Infinity: Exploring Indeterminate Forms

    Hurkyl's post is a reductio ad absurdem. It is a proof that \lim (a\circ b)\neq \lim a \circ \lim b where o is some operation.
  7. krab

    Understanding the Heat Equation and its Fundamental Solution

    The y is a dummy variable; it is integrated out. If you want insight into the solution, try some other easily integrable cases. For example, what if u_0 is a delta function? Or try plotting the integrand for a sequence of different y's, then imagine them all added together.
  8. krab

    Kepler orbital trajectories and 'effective potential'

    Seems like you did not read your lecturer's notes. Your question is answered, not in section 3.3, but in section 1.1,1.2.
  9. krab

    Question about the ideal gas law

    Pressure, density (n/V), and temperature are 3 quantities related by the gas law. If you change one of them, you don't know how the other two change; you need more information. So for example, if you slowly compress a gas that's in contact with a heat reservoir, then T=constant and so PV =...
  10. krab

    How can magnetic field be a relativistic phenomenon?

    Watch out for words like "merely" in textbooks. It's not sensible to say that magnetic fields are merely the result of electric fields plus relativity. One could as well say that electric fields are magnetic fields modified by relativistic effects. It is more accurate and less confusing to say...
  11. krab

    Photon Mass: Is Student Learning Misleading?

    A lucid explanation of the concept of mass is here: http://arxiv.org/abs/hep-ph/0602037
  12. krab

    Understand Mach's Principle: What does it Mean?

    Try this thought experiment. Empty the universe of all mass except yourself. Say you have a method like rockets or something to make yourself spin. How would you know you are spinning? If you are not spinning against anything else, could you be said to be spinning? Mach concluded not only that...
  13. krab

    What is the Solution for |x+1| = 2x-1?

    |x+1| is always >0. Now look at the right side. It means that x MUST be larger than 1/2. So x+1 is >0 and we drop the absolute value sign: x+1=2x-1. It's pretty easy to solve.
  14. krab

    Photons have energy but zero mass?

    How can you say that? it's not general because it doesn't apply when m_0=0 and v=c.
  15. krab

    What is the Magnitude of the Force on a Wire in a Uniform Magnetic Field?

    The x in F=ILxB is a cross product, not a simple multiplication. It multiplies vectors, not numbers. Look up how to do a "cross product".
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