Recent content by Joshk80k

Homework Statement 5. What is the average distance traveled by a muon with an energy of 5 GeV? 500 GeV? (assume v is approximately c) Homework Equations The Attempt at a Solution I wasn't really sure where to begin with this. I was under the impression that if in both...

1. Homework Statement Which of the following Nuclear Reactions are allowed? A) e- + p --> \mu- + p B) n --> p + \pi- C) K- + p --> (anti)k0 + n 2. Homework Equations While I don't know if there are any relevant equations, I know that there are several conservation laws that are required...

No, I don't know how to do that - I'll look it up though, thanks =)

Homework Statement Determine the equation of the following points: (12. 270) (14, 300) (16, 330) (18. 380) Homework Equations The Attempt at a Solution I realized right away that this is not a linear set of points, so it wouldn't work out to just find the slope between two...

Homework Statement \oint \frac{dz}{z^2 + z} = 0, C: abs(z) > 1 Homework Equations \oint \frac{f(z)}{z-z_0} dz = 2i\pi * f(z_0) The Attempt at a Solution Under normal circumstances, I usually deal with these in the following way. I say that F(z) = 1 (the value in the...

Homework Statement What is the gravitational potential both inside and outside a spherical shell of inner radius b and outer radius a? Homework Equations \Phi = -2\pi*G*\rho*\int (r'*r') \int (sin(\theta)/r) d\theta Integration range for the first integral is from a to b, while the...

Homework Statement Integrate: \int \int \frac{1}{[(x_1-x_2)^2+a^2 ]^1^/^2} dx_1 dx_2 (The bounds on the first integral are [-L/2, L/2] and the second integral's bounds are the same.)Homework Equations N/AThe Attempt at a Solution I stared at this problem long and hard, and was hoping to...

I can say that my original function is greater than this new function, and that this new function is also divergent. OK, I can see how your choice coincides with the way the convergence test is written. I just made the mistake of jumping the gun with this new technique =).

I want to relate it to something like \frac{1}{\sqrt{n(n+2)}} But to be honest I can't think of an easy way to deal with that one either...I'll continue thinking about it...thanks for correcting it though =).

Ah OK, thanks so much for your help! My professor gave us a whole list of these things to figure out, and if I'm applying the comparison test you just showed me correctly, then I shouldn't have any more problems. Am I applying what you just showed me in the correct manner here...

Sigh. Using your method, I got the answer in 15 seconds, as opposed to the 15 minutes my other way took. Thanks to you, I know this is now convergent - but, for future reference, is it OK for me to make that assumption that I made towards the end of the problem?

Homework Statement Is \sum \frac{1}{2n(2n+1)} convergent or divergent? (Note that the summation is from 1 to infinity) Homework Equations \int f(x) dx = L, (range is from 1 to infinity) IF L = \infty, divergent L < \infty, convergent. The Attempt at a Solution I...

Alright, so I was right - it diverges. Thanks very much!

Homework Statement Show that \sum \frac{n!}{10^n} converges or diverges.(Note, I was unsure of how to format this via latex, so the summation is from n = 1 to infinity.)Homework Equations The root test: |\frac{a_n_+_1}{a_n}| The Attempt at a Solution a_n=\frac{n!}{10^n}...

Sorry for the redundant information - I posted at nearly the same time as you did. Thanks very much for your help =).