Oh wow wait I think I got it, I took the natural log of the initial substitution and I think that's exactly what I needed to do. I can nicely separate P and T from each other using log properties, and no weird exponents.
I could take the log, of course, because a ln(constant) is still some...
I get $$\frac{dT}{dP} = \frac{\gamma}{\gamma - 1} \frac{T}{P^{\gamma + 1}}$$
Which evaluates to $$\frac{dT}{dP} = \frac{f+2}{2} \frac{T}{P^{\frac{2f+2}{f}}}$$ and I really don't know how to proceed from there.
Homework Statement
The problem is in the context of convection in the troposphere
Show that when an ideal gas expands adiabatically, the temperature and pressure are related by the differential equation
\frac{dT}{dP} = \frac{2}{f+2} \frac{T}{P}
Homework Equations
Ideal gas law PV = nRT...
Homework Statement
I need to normalize the following wave function in order to determine the value of the coefficients. This is from the basic finite square well potential.
\Psi(x) = Ae^{k_{1}x},for \ x < -a/2
\Psi(x) = Csin(k_{2}x),for \ -a/2 \leq x \leq a/2
\Psi(x) = De^{-k_{1}x}, for \ x...
Yeah if you go from point A ---> point B, and you've got a potential of 100V at point A and 0V at point B, then the potential difference is B - A = 0V - 100V = -100V.
Electric potential is a value that tells you about a point in space. You can think of it as a "property" that is describing the...
That's basically the thermal energy of the cloud. All of the particles in the cloud (hydrogen atoms in this case) have their kinetic energy partitioned into the degrees of freedom of the system. Hydrogen atoms have three degrees of freedom because they can only move around in three directions...
you want to do something like
\frac{F_{sn+g}}{F_{g}} = 10^{\frac{m_{sn + g} - m_{g}}{-2.5}}
I just solved your equation for the ratio of the fluxes.
Now we also know that we can just add up the fluxes, i.e.
Fsn + g = Fg + Fsn
does this help? Remember that if you get a number...
Homework Statement
It wants me to get the density function of a Plummer sphere from its gravitational potential.
Homework Equations
Plummer sphere potential:
\Phi (r) = -\frac{GM}{\sqrt{r^{2}+a^{2}}}
where phi is the potential as a function of radius from the mass, M. And a is a...
So basically you've got the following:
mg, msn, and mg + sn
where mg = 17.6 and mg + sn = 18.0
So we know that mg + msn is NOT mg + sn
but we do know that
Lg + Lsn = Lg + sn
Do you have any equations that relate luminosity to magnitude? Or even a relationship between flux and...
well when we write out the momentum in x and y we get
x: mv_{1,x} = mv^{'}_{1,x} + mv^{'}_{2,x}
and
y: 0 = mv^{'}_{1,y} + mv^{'}_{2,y}
where the prime denotes "after the collision"
so
mv_{1} = mv^{'}_{1} + mv^{'}_{2}
is really only half of it. But can you see how you can use...