Hi LouArnold, I have a book that pretty well sums up what you want to know, it's called mathematics for physics and physicists by Walter Appel. It basically tell you the mathematical tools required to understand physical principles. :D
Why is it thought that there will be quantum gravity (if up to now gravity seems to be more of a geometric thing than a probability thing)?
Well the whole idea of quantum gravity came about when people were trying to apply the ideas of quantum mechanics to general relativity. Contrary to...
Any basic mechanics book solves this problem within the first couple of chapters, take a book outfrom the library on classical mechanics and do some reading. You'll understand what youre trying to do then.
I'm not sure what you mean by "differences" between these two theories, because they are afterall entirely different from one another. You're quite correct when you mention gravity and electromagnetism because they are intrinsically linked to relativity and quantum mechanics.
The...
Yeah increasing the potential energy will increase the mass but it will be negligible. It's also interesting to note that an increase in mass is not the only unusual aspect of an increasing the gravitational potential energy, time dilation is another.
Hi some help on the following problem would be very useful.
The probem is based around a mass with two horizontal springs attached to it, one on either side.
"A mass m = 1 kg is mounted between two identical springs of K = 100 N/cm"
What is the portential energy of either spring if the...