Homework Statement
The work-energy theorem relates the change in kinetic energy of a particle to the work done on it by an external force: \triangle K = W = \int F\, dx . Writing Newton's second law as F = \frac{dp}{dt} , show that W = \int v\, dp and integrate by parts using the...
ahhh...silly me...thanks...if i add the 2nd term over then the numerators will cancel out leaving 1/2 on left and 1/kT on right. multiply by kT and you have the 1/2kT=0 which is what i want.
thanks again for helping me with that simple mistake.
i can try.
as i mentioned a = \frac{2N}{√∏} \frac{1}{(kT)^\frac{3}{2}} which is just a constant since we are doing this with respect to E
so now you have (aE^ \frac{1}{2})(e^\frac{-E}{kT})
follow the product rule: derivative of first * second + first *derivative of second
\frac{aE^...
Homework Statement
i need to show that the peak of the maxwell Boltzmann distribution is equal to 1/2 kt.
Homework Equations
maxwell Boltzmann distribution according to modern physics 3rd edition by kenneth kramer.
ill try to do my best with this
N(E)= \frac{2N}{√∏}...
Thanks quantum. I'm only 2-3 wks into school so I'm not quite sure of the type of answers I should be getting as my professor just gives a lot of historical information in lecture but no example problems.
Homework Statement
12. one of the strongest emission lines observed from distant galaxies comes from hydrogen and has a wavelength of 122 nm(in the ultraviolet region).
a) how fast must a galaxy be moving away from us in order for that line to be observed in the visible region at 366 nm?
b)...
I'm using a book called modern physics by Krane third edition.
Thanks for those examples as it help clear some stuff.
Helix- I thought two but after seeing those examples it should be 1.
Pendulum- that's the correct definition given for it to be compound. The end would only be 1 dof since...
Linear spring: the 3 translational & 3 rotational dof.
Helix: since it's just the bead than you only need 2 dof.
Pendulum: so in 3 space it would only add 1 dof (the rotation about vertical) so total 5 instead of 4 in 2 space.
Linear spring: it would have all 6 since it can be as big,long,small,short etc as it wants to.
Helix: up/down (vertically) 1 dof it's radius and pitch are constant so that's 2 dof it doesn't have. So 4.
Pendulum : it can only move left/right and up/down so only 2 dof. But there's 2 pendulums...
Homework Statement
i have a homework set to determine the degrees of freedom for certain objects. the professor never explained how to go about figuring these out and the book doesn't quite explain it well. two problems from the set are 1. a linear spring in 3space and 2. a bead constrained to...