Using the notation, I have the conservation of energy written as E0=E1+E2
Then using the energy equation for each particle
For the K meson
E02=P02C2+M2C4
For the Pi stopped
E12=m2C4 since P1=0
For Pi moving
E22=P22C2+m2C4
Momentum conservation
P0=P1+P2
Since P1=0
P0=P2
Do I just plug all...
Homework Statement
A K meson (an elementary particle with approximately 500 Mev rest mass) traveling through the laboratory breaks up into two Pi mesons (elementary particles with 140 Mev rest energies). One of the Pi mesons is left at rest. What is the total energy of the remaining Pi meson...
Thanks for your explanation. I wasn't used to this method so I couldn't see the relationship before. For part B where it asks to find the minimum, taking A=B=1, I found an equilibrium point at R=1. Would it be correct for me to use the first derivative test?
Sorry, I'm not sure how I would plot the function in those terms such as A^2/B and B/A. Do you think I can fix the values like PeroK suggested? My only concern is that the function slightly changes based on what A and B are. But I see that the function runs off to infinity as R approaches 0.
Homework Statement
The potential energy V(R) of a two particle system exhibiting oscillatory behavior near a local minimum at the equilibrium separation Ro. V(R)= -(A/R)+(B/R^2) , where R is the interparticle separation.
A) Sketch V(R), what happens to V(R) as R→0
B) At what value of R is...
So then I can use the fact that ΔU= Uf-Ui= ½kxf^2-½kxi^2. Where f is final and i is initial?
If this is correct, then xi=0 and that term drops out. Then I would be left with ½kxf^2 = -k1½x0^2+k2⅓x0^3
Homework Statement
A spring of negligible mass exerts a restoring force on a point mass M given by F(x)= (-k1x)+(k2x^2) where k1 and k2 >0. Calculate the potential energy U(x) stored in the spring for a displacement x. Take U=0 at x=0.
Homework Equations
ΔU=∫F(x)dx
U=½kx^2
The Attempt at a...