UNIVERSITY PHYSICS II
PHYS 213
(3-0) 3 credits. Prerequisites: MATH 123 and PHYS 211 or permission of instructor. This is a second
course in a two (2) semester calculus-level sequence, covering fundamental concepts of physics. This is
the preferred sequen
Questions and Example Problems from Chapter 2
V Question I
In the position vs. time graphs below, all the times are in seconds (3), and all the positions are in
meters (111). Rank these graphs on the basis of which graph indicates the greatest average spe
the motion is given. Remember that v = 27ml T , where r is the radius of the circular orbit. You can
use this expression to eliminate v in favor of r or r in favor of v in the expression'for the
centripetal acceleration.
All relative motion problems are e
Some students erroneously include forces that are not acting on the object. For each force
you include you should be able to point to something in the environment that is exerting the
force. This simple procedure should prevent you from erroneously includ
6. Think about how to get from the given information to the nal desired information. Do not
rush this step. Which principles of physics can be applied to the problem? Which will help get to
the solution? How are the known and unknown quantities related? A
Trigonometric identies.
You should'also be familiar with the following trigonometric identies:
sin(A) = ~sin A
cos(-A) = cos A
sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
Radian measure.
You are probably familiar with
51F. Two blocks are in contact on a frictionless-table. A horizontal
force is applied to the larger block, as shown in Fig. 5-35. (a) If
m, = 2.3 kg, m2 = 1.2 kg, and F = 3.2 N, nd the magnitude of F
the force between the two blocks. (b) Show that if a fo
PHYS 211 F201311AM Team Name: 137
l i l
I ' 3 3 1 7
l = "0 +01 x~x0 2 :(l+V0)l v = VQ +2a(x~x0) xxo = ragt+~at
a 1.
1 2
xxU =vt;al
1.
l. A student writes Newtons second law as, F = ma, which has some errors. Write down
Newtons second law without
Phys. 121
Some Exam Question pages hve n name;
If you have no score in WA ask Susan Miller in C136 _
> Scores on QZ are being corrected; numbers on WA will be revised
Lecture Components:
PreLectures/Checkpoints - PreLect 9 due Wednesday
(Potential Ene
i
E
g
.
-.
Name : , taking (circle one: Thursday, Friday ) class
As a student at MIT I will conduct myself in a professional manner and will comply with the provisions
of the NJIT Academic Honor Code. I also understand that I must subscribe
Physics 140
HOMEWORK Chapter 10A
Q4. Figure 10-21b is a graph of the angular position of the rotating disk of Fig. 10-21a. Is the angular
velocity of the disk positive, negative, or zero at (a) t = 1 s, (b) t = 2 s, and (c) t = 3 s? (d) Is the
angular acc
x
l
l
'2 Figure 935 shows a three-
particle system, with masses m1 =
3.0 kg, m; = 4.0 kg, and m3 = 8.0
kg. The scales on the axes are set
by x, = 2.0 m and y, = 2.0 In.
What are (a) the x coordinate and
(b) the y coordinate of the sys-
tems center of mass
Final Exam Physics 16 Spring 2009
The exam is three hours. I have attempted to arrange the problems in (roughly) increasing difficulty and
assigned point values accordingly. Most problems have several parts; keep in mind that you may be able
to answer a l
PHYS 211 - Exam II: Chapters 5 & 6
You may use your Text Book and Calculator Only!
For each question, choose the answer that is MOST correct. Mark your answers on the Exam & Scantron sheet.
Hand in the scantron when you are finished. Please keep this exam
1. The flux of the electric field 24 i 30 j 16k N / C through a 2.0 m2 portion of
the yz plane is:
A) 32 N m2/C
B) 34 N m2/C
C) 42 N m2/C
D) 48 N m2/C
E) 60 N m2/C
Solution:
Ans: D
E S 24 N / C 2 m 2 48 N m 2 / C
2. A point particle with charge q is at t
PHYS 211 EXAM 3
KEEP this Exam for future reference.
For each question, choose the answer that is MOST correct.
Mark your answers on the EXAM & the SCANTRON sheet.
Hand in the scantron sheet when you are finished. You may keep the exam for future
referenc
Chapter 8 Problem Day
8. In the figure, a block of mass m = 0.032 kg can slide along the frictionless loop-the-loop, with
loop radius R = 12 cm. The block is released from rest at point P, at height h = 5.0R above the
bottom of the loop. How much work doe
PHYS 211 Practice Exam 1
1. A particle moves along the x axis from xi to xf . Of the
following values of the initial and final coordinates, which
results in the displacement with the largest magnitude?
a.
b.
c.
d.
e.
xi = 4m,
xi = 4m,
xi = 4m,
xi= 4m,
xi
Natalie Richardson
Pd. 3
Resistivity of Play-Doh
2/8/16
Lab Partners: Emily, Callie
Purpose: To determine the resistivity of play-doh using linearization of data on a graph.
Prelab questions: The voltage divided by the current will be the y axis and the l
Practicum 3 Calculating Force Vectors
Answer Key
Introduction
If guy wires are used to stabilize a tower, what is the minimum number of wires
necessary? Imagine what would happen if you only used one or two wires. The guy
wires work together so that the t
Vector Spaces and Matrix Mechanics
January 18, 2012
1
Probability Amplitudes and Their Compositions
Let us recall the expansion postulate of Quantum Mechanics:
Every physical quantity can be represented by a Hermitian operator with eigenfunctions 1, 2, .,
Hilbert Space and Dirac Notations
January 23, 2012
1
Bra and Ket vectors
Consider a probability amplitude:
A| B | =
(x)(x)dx
We call this quantity inner product. Using the integral denition of the inner product we can establish the following properties:
Eigenvalue Problem in Hilbert Space.
Representation Theory.
The Heisenberg Uncertainty Relation.
January 25, 2012
1
Eigenvalue Problem in Hilbert Space: Matrix Formulation
Let us suppose that the set of ket-vectors |n corresponds to a
complete set of func
Coordinate and Momentum Representation.
Commuting Observables and Simultaneous
Measurements.
January 30, 2012
1
Coordinate and Momentum Representations
Let us consider an eigenvalue problem for a Hermitian operator
A:
A|n = An |n
and
n|m = nm
In the basis
The Spin.
Algebraic Theory of Angular Momentum
January 30, 2012
1
Algebraic Approach to the Angular Momentum
Eigenvalue Problem
The commutator relations
[Jx, Jy ] = i Jz
(1)
are the trademark of the angular momentum in quantum mechanics. Although they ar
The Spin (continued)
Angular momentum matrices
The spin Pauli matrices
February 1, 2012
1
Angular momentum matrices.
We will try to establish an explicit form of the angular momentum matrices without any particular reference to wave functions,
i.e. by u
AlgebraicMethodofSolvingthe
LinearHarmonicOscillator
LecturebyGableRhodes
PHYS 773: Quantum Mechanics
February 6th, 2012
SimpleHarmonic Oscillator
Many physical problems can be modeled as small
oscillations around a stable equilibrium
Potential is descr
The Spin (continued).
Magnetic moment of an electron
Particle wave functions including spin
Stern-Gerlach experiment
February 8, 2012
1
Magnetic moment of an electron.
The coordinates of a particle include the spin variables (S, ms)
and the position va
The Spin (continued).
Spin and Rotations
February 13, 2012
1
Spin and Rotations.
We remember that the z -component of the orbital angular momentum operator can be expressed as:
There is an intimate relation between this operator and an operator of the ro
PHYS 481, SELF-PREPARATION
TYPICAL EXAM 1, FALL 2009
1. Let F (x, y ) = 2xy . Evaluate
F
ds
n
around the circle x2 + y 2 = 2. Here F/n is the directional derivative
of F along the outer normal and ds = |dr| = dx2 + dy 2 .
2. Consider
(x 2y )dx xdy )
aroun