So I have to put together a mock budget for a funding proposal. I am unsure, however, how much I need to pay the research assistants I will have working on the project. I also don't have a good idea of how much a professional with a PhD or master's would be paid to work on a project.
I...
Hi guys,
This summer I am looking to get involved in research at my university. I am eager to go and meet with a professor to see if I can hold a position for him, but I am very intimidated and I sometimes feel like I don't know enough to contribute to a research team. I have been told...
Homework Statement
A thin rod has mass M and length L. What is the moment of inertia tensor about the center of mass if placed along the x axis.
Homework Equations
I would write the inertia tensor in component notation, but I don't know how to use Latex.
The Attempt at a Solution...
Homework Statement
Find the energy of a particle of mass m in an infinite square well with one end at x=-L/2 and the other at x=L/2.
Homework Equations
Schrodinger Equation
The Attempt at a Solution
To save time, I won't type the solving of the differential equation which results...
Homework Statement
One particle is shot in the x direction at speed u and a second is shot in the y direction at speed u as well. Show that the relative speed of one to the other is: u(2-(u/c)^2)^1/2.
Homework Equations
velocity addition: u = (u' +/- v)/(1 +/- u'*v)
Lorentz Trans...
Homework Statement
Two rockets are sent off at t=0, one from x=0 and the other at x=4. The rocket leaving from x=0 is moving at .8c and the rocket leaving x=4 is moving at .2c. When the paths of the two rockets meet, they send a light signal to x=0. Read off the coordinates in the S frame...
Homework Statement
Sketch the elliptical and hyperbolic orbits two objects make around each other if their masses are equal. Next to each, sketch the equivalent one-body orbit.
Homework Equations
The Attempt at a Solution
For the elliptical orbit, I just drew two ellipses that...
Homework Statement
z = cr^2
Homework Equations
The Attempt at a Solution
I have a pretty simple question. What is the second derivative of the z equation.
I know that z' = 2crr'.
Am I correct to say that z'' = 2cr'^2 or is it something else?
Hopefully my question...
Homework Statement
A simple pendulum has a mass M attached at the end of a massless rod of length L. Find the force of constraint the rod exerts on the bob.
Homework Equations
The Attempt at a Solution
It seems easy enough that the mass is constrained by the tension the rod...
Homework Statement
A star is moving in a circular orbit of radius r within a galaxy. What is it's orbital speed
v(r) as a function of \rho(r) and radius.
The galaxy is spherically symmetric with a mean density \rho(r) and radius R.
Homework Equations
F =...
Homework Statement
Show that the solution x(t) = Ge^(iwt), where G is in general complex, can be written in the form x(t) = Dcos(wt - \delta).
D(w) and \delta(w) are real functions of w.
Homework Equations
z = Ae^(i\phi)
The Attempt at a Solution
So I know I should start by...
Homework Statement
The oscillator is driven by a force F(t) = mAcos(wt). Plot the amplitude D of oscillations, in units of the maximum (resonant) amplitude D(max), as a function of w in units of w_0. (In other words, plot D/D(max) versus w/w_0.) Find Q.
\beta=(1/6)w_0
Homework...
Homework Statement
Z^5 = -1
What are the five roots?
Homework Equations
The Attempt at a Solution
I do not know how to start this problem. I am given a hint to put -1 into the form Ae^(i*delta), but I am unsure as to how I can do that. Any help would be much appreciated.
Homework Statement
If x= Acos(\omegat + \delta), then one can also write it as x = Re(Be^{i\Phi}). Find B and \Phi in terms of A, \omega, and \delta if B is real.
Homework Equations
The Attempt at a Solution
Not sure where to start on this one. I know you guys can't give...
Homework Statement
Consider a new vector operation, 'star' (*), defined for two dimensional vectors by A*B=(A1-B1,A2+B2). Is the resultant object a vector?
Homework Equations
The Attempt at a Solution
I want to say that the resultant object would be a vector but I do not know...
Homework Statement
A ball with a mass m swings from a string of length L from a pivot. A distance D directly below the pivot there is a nail. The ball is released making an angle theta=pi/2 with the vertical. For this particular problem, there is no friction.
Assuming the ball swings...
Homework Statement
Find the components of A after a rotation of -45 degrees about X3.
A=(1,1,2)
Homework Equations
\lambda=
(cos\theta 0 -sin\theta)
( 0 1...
Homework Statement
A bowling ball is initially bowled so that it doesn't roll with a translational velocity Vo. Show that when the velocity of the ball drops to (5/7)Vo, the ball will begin to roll without sliding.
I= (2/5)MR^2
mass= M
radius= R
Homework Equations
V=wR
The...
Hey guys,
I have my final exam in a week for my thermodynamics class. So far this year, things have been sort of roller-coaster-like. I did poorly on my first test because I was caught completely off guard. On my second test, I raised my grade substantially to the point where I was...
Hello all,
I am attempting to make a fortran program that allows the user to play a game of hangman. So far I have written a complete program that assembles piece by piece the base, gallows, rope, body parts, etc.. I have another completely separate program that reads from a file 264 random...
Homework Statement
A compressed cylinder holds nitrogen gas at room temperature. How cold is the gas that is escaping from the cylinder?
T(cylinder) = 298 K
P(cylinder) = 1.034e7 Pa
n = 1
Homework Equations
PV = nRT
The Attempt at a Solution
So since I was not given either the volume of...
Hello all,
I am currently pursuing a B.S. degree in physics. My main concern is finding a job that isn't just laboratory research. Can anyone give some of the popular areas that physics degrees would be applicable for?
Any advice would be much appreciated.
Homework Statement
Show that when an ideal gas expands adiabatically, the temperature and pressure are related by the differential equation: dT/dP = (2/f+2)(T/P).
Homework Equations
PV=NkT
VT^(f/2) = constant
V^(gamma)*P = constant
The Attempt at a Solution
I started off with the formula...
Hello all,
I am currently attempting to take a set of data I have acquired and trace it back to the initial algorithm that produced it. My problem is my math level is only at the level of differential equations and I do not have any knowledge in advanced statistical analysis. Anyone have...
Homework Statement
Grand unification theories predict that the proton has a long but finite lifetime. Current experiments based on detecting the decay of protons in water infer that this lifetime is at least 10^32 years. Assume 10^32 years is, in fact, the mean lifetime of the proton...
Homework Statement
Weak acid analyte with strong base titrant.
What is the pKa of the analyte in this titration to the nearest 0.5?
Given: titrant molarity is .2250 M ; 50 mL of analyte present ; 20 mL of titrant ; initial pH of 3.0
Homework Equations
M1*V1=M2*V2
The Attempt at a...
Homework Statement
Calculate the pH of 20.00 mL of 0.20 M KHP.
Given: pKa1(H2P)= 2.950 pKa2(H2P)= 5.408
Homework Equations
k = [H][P]/[HP]
The Attempt at a Solution
I used this equation and got:
3.91e-6 = [x][x]/[.2]
x^2 = 7.82e-7
x = 8.8e-4 = [H]
pH = 3.05...
Homework Statement
If you began with 8.5 mL of 0.35 M NaHCO3, how many mL of 0.10 M HCl would you need to add to get a pH 7 buffer?
Homework Equations
pH = pKa + log([base]/[acid]) or pH = pKa + log(mmol base/mmol acid)
The Attempt at a Solution
I have tried making a reaction table, but I...
Homework Statement
The resistivities and Fermi speeds of Na, Au, and Sn at T = 273 K are 4.2 µ\Omega·cm, 2.04 µ\Omega·cm, and 10.6 µ\Omega·cm, and 1.07e6 m/s, 1.39e6 m/s, and 1.89e6 m/s respectively. Use these values to find the mean free paths λ for the conduction electrons in these elements...
Homework Statement
You prepared a reaction table for 10.0 mL of 0.1 M NH4Cl with 5.0 mL of 0.1 M NaOH. Please choose all of the following that describe the solution that was produced.
The choices are:
1. a solution containing only a strong base
2. a solution containing a weak acid and a...