Midterm #1 Solution Physics 1A - Dr. Mostafa El Alaoui Winter January 29, 2013
Midterm #1 Solution
Physics 1A - Dr. Mostafa El Alaoui
Winter January 29, 2013
Name:
Student I.D.#
Signature:
Please do the following 4 problems. Show all work and reasoning. U

Physics 1A — Spring 2016
LECTURE 1
MIDTERM EXAM #1
Rules and Advice
Multiple Choice Questions. For each of the multiple choice questions that
follow, write the letter of the correct answer. If your answer is correct, you will
receive 5 points, regardless

Physics 1A — Spring 2016
LECTURE 1
MIDTERM EXAM #2
Guidelines / Advice
On multiple choice and true/ false questions, the correct answer is worth 1 point,
and your reasoning is worth 4 points for a total of 5 points.
On true/ false questions, if you sele

Lecture 33: Resonance
Consider a circumstance where we add energy to a harmonic oscillator. Assume that we
drive a system with a periodic external force of the form, Fext :
Fext = F0 sin (f t)
(1)
where F0 is the amplitude of the driving force and f is it

Lecture 34: Dissipation in Harmonic Motion
For a real harmonic oscillator, there are always loss terms as energy is dissipated into
the surroundings. Often, one can approximate the loss as an eect on the speed so that if
there is no driving force:
d2 x
dx

Lecture 25 The Origin of the Earths Internal Heat
We consider a key question for understanding our planet: the origin of the Earths interior
heat.
1
The Heat Flow from the Interior
It is clear from volcanos and temperature gradients in deep mines and dril

Lecture 32 The Pendulum: Extended Objects and Energy Considerations
1
Extended Objects
Consider two elaborations of the simple pendulum. First consider a system more complicated than a bob at the end of a massless rod. Assume, instead, a pendulum where th

Lecture 26: Equation of Continuity
Our goal is to describe the dynamics of uids an essential aspect of physics. In a
uid, the mean free path of a particle is much less than the characteristic size of interest.
We therefore do not follow individual particl

Lecture 24 Dark Matter
There is strong evidence that there is a substantial amount of matter in the universe which
exerts a gravitational force but does not emit much light. This material is called Dark
Matter.
One important line of evidence is provided b

Lecture 22 Planetary Interiors + Oscillations
Previously, we showed that outside a spherical shell, the gravitational potential can be
computed as if the entire mass is concentrated at the center of the shell. Inside the shell,
the gravitational potential

Lecture 23 Black Holes and Gravitational Accretion
1
Black Holes
A simple image of a black hole is an object of mass M where the escape velocity is greater
than the speed of light, c. In this case, the radius, r, must be:
r =
2GM
c2
(1)
Every mass has a S

Physics 1A: Mechanics
Winter 2016
Discussion: Week 2
Agnieszka Wergieluk
Graduate TA
awergieluk@ucla.edu
Office hours: Mondays, Tuesdays, Wednesdays 4-7 p.m. by appointment!
(Alternatively, just e-mail me your questions.)
Problem 1
a) A body travels in a

Physics 1B Practice Midterm 2 Solutions
(1) The work W done by the gas during the cycle is determined by the are of the P V diagram bounded
by the cycle, i.e. the area of the trapezoid (see figure below). Note that the diagram is only schematic
as we dont

Physics 1B Midterm 1 Solutions
(1) The density of ice at the freezing point is less than that the density of the water at the same
point. This is counterintuitive as most materials become denser upon solidification. Assume that the
density of ice is given

Physics 1B Midterm 2 Solutions
(1) Suppose that n moles of an ideal monatomic gas perform a cycle shown in figure. The order of
the steps is 1-2-3-4-1. Determine the work and heat exchange in this cycle, in terms of P0 , P1 , P3 and
V1 , V2 . (Pi , Vi are

Problem Set 1 - Solutions
Challenge Problems
CP1.
The Law of Cosines states that for any triangle with sides of length A, B, and C, the
angle subtended by sides A and B satisfies
C 2 = A2 + B 2 2AB cos .
Prove this law using vector methods (e.g. perhaps t

Universidad Centroccidental Lisandro Alvarado
Decanato de Ciencias y Tecnologa
Departamento de Sistemas
rea Acadmica Laboratorios
Unidad: Brazo Robtico
Robtica
Prof. Maritza Bracho de Rodrguez
Prctica No 7 9 10
Leer desde la pgina 7-1 hasta la pgina 7-4 d

Physics 1A: Mechanics
Winter 2016
Discussion: Week 1
Agnieszka Wergieluk
Graduate TA
awergieluk@ucla.edu
Office hours: Mondays, Tuesdays, Wednesdays 4-7 p.m. by appointment!
(Alternatively, just e-mail me your questions.)
Let us begin with a few puzzles t

Physics 1A: Mechanics
Winter 2016
Discussion: Week 3
Agnieszka Wergieluk
Graduate TA
awergieluk@ucla.edu
Office hours: Mondays, Tuesdays, Wednesdays 4-7 p.m. by appointment!
(Alternatively, just e-mail me your questions.)
Problem 1
a) We are considering a

Physics 1A: Mechanics
Winter 2016
Discussion: Week 2
Agnieszka Wergieluk
Graduate TA
awergieluk@ucla.edu
Office hours: Mondays, Tuesdays, Wednesdays 4-7 p.m. by appointment!
(Alternatively, just e-mail me your questions.)
Problem 1
a) A body travels in a

Physics 1A: Mechanics
Winter 2016
Discussion: Week 4
Agnieszka Wergieluk
Graduate TA
awergieluk@ucla.edu
Office hours: Mondays, Tuesdays, Wednesdays 4-7 p.m. by appointment!
(Alternatively, just e-mail me your questions.)
Problem 1
Mass M1 slides on top o

Physics 1A: Mechanics
Winter 2016
Notes on Motion in a Straight Line
Agnieszka Wergieluk
Graduate TA
awergieluk@ucla.edu
Office hours: Mondays, Tuesdays, Wednesdays 4-7 p.m. by appointment!
(Alternatively, just e-mail me your questions.)
WHERE DO ALL THES

Physics 1A: Mechanics
Winter 2016
Discussion: Week 3
Agnieszka Wergieluk
Graduate TA
awergieluk@ucla.edu
Office hours: Mondays, Tuesdays, Wednesdays 4-7 p.m. by appointment!
(Alternatively, just e-mail me your questions.)
Problem 1
Let us attempt to deriv

Monday
1/9
Wednesday
1/11
Vectors
Vector
Products
1/16
1/17
Position
Velocity
Acceleration
1/18
1-D Kine
2-D Kine
2-D Kine
Holiday
1/23
1/24
1/25
Forces
Newtons Laws
Force
Examples
Friction
1/30
1/31
2/1
Work
K = Wtot
Potential Energy
E = Wnc
2/6
2/7
2/8

Practical Trig
Preliminary Denitions
A Right Triangle: Any triangle that possesses two sides separated by a
90 angle.
The reference angle (): One of the two remaining angles of a right
triangle ( = 90 ).
The hypotenuse (hyp): The side of a right triang