Recent content by Bonfield

To escape, the total energy must be raised to zero. Since the total mechanical energy is constant, it will take the same amount of energy from either point. A short rocket burn tangential to the orbit at either apogee or perigee can add only KE. To proceed, you should look at the mix of KE...

The hint is a good one. First integrate and then apply Stokes theorem to your curl H = J equation to get the equivalent integral form. You will have a line integral of H around a closed curve, which you should make your rectangular loop. The other side of the equation will have the total...

You have the circle approach correct. The same approach will work for the theta component on the sphere. For phi, R will have to be replaced by R cos(theta), but the approach is otherwise the same. You will still have to figure out how to set up the two components of v (theta and phi) to go...

I'm not quite understanding the question. Do you want the angles as a function of time, or one angle as a function of the other? To start working on the problem, you can find the theta and phi components of the velocity from the known P1, P2 and the radius of the sphere. Then it shouldn't...

You've answered your question. During the isothermal expansion, constant T means no internal energy change. During the adiabatic compression, there is no heat flow. But, work is being done on the gas and this will show up as an increased internal energy.

I would NOT recommend jumping right to Goldstein from HRW and a year of Calculus + linear algebra. Symon is a good book. I agree that Cassiday and Fowles is not crystal clear, but I think of it as at a little lower level than Symon. My first choice would be Symon if you can't find a place to...

The drift velocity and current are proportional. The thermal speed depends on the temperature. Current is not much affected.

There's no real answer to your question. What might be the best school for one person could be a terrible school for another. A school with a great research reputation may not (or may) ignore undergraduates. A small school won't ignore you but may not have a lot of resources. School can be...

The light is not actually focussed to a point. What you get is an image of the sun. The size of the image will be (image distance/objectdistance) sun dia. Since the image distance is very close to the focal length of the lens, a shorter focal length will produce a smaller image and a hotter...

Pink isn't the only one. Another example is brown and there are many others. Krab's explanation tells why.