Lab: Constant Velocity (26 points)
Objectives
After you have completed this laboratory, you will be able to:
Calculate the velocity of a moving toy car.
Create a distance vs. time graph.
Introduction
Velocity is a value that describes an objects speed and
5/17/2017
Calculus | - Spring 2017
JD. Mireles James
Mathematical Sciences
Florida Atlantic University
Calculus - Analytic Geometry 11
Summer I 2017
Some administrative information about Calculus II.
(MAC 2312 003, 4 credits). We meet Tuesdays and Thursda
PHYSICS 10310: Mechanics
Prof. Justin R. Crepp
[email protected]
Office Hours: Mon. 3-5pm [NSH 339C]
Rela-ve Velocity
Two observers moving rela-ve to each other generally do
not agree on the outcome of an experiment
For example, the
PHYSICS 10310: Mechanics
Prof. Justin R. Crepp
[email protected]
Office Hours: Mon. 3-5pm [NSH 339C]
Various Areas of Physics
Research
.
.
Solid State Physics
Optics
Nuclear Physics
Particle Physics
Astrophysics
Thermodynamics
Relativity
Quantum Mechanics
Ele
PHYSICS 10310: Mechanics
Prof. Justin R. Crepp
[email protected]
Office Hours: Mon. 3-5pm [NSH 339C]
Problem Solving in Dynamics
Free Body Diagrams:
1. Draw a decent picture.
2. Pick convenient coordinates* to use Newton's Laws in
component form.
3. Write dow
PHYSICS 10310: Mechanics
Prof. Justin R. Crepp
[email protected]
Office Hours: Mon. 3-5pm [NSH 339C]
A monkey drops from a tree branch a distance h above the
ground. A hunter stands a distance d away from the spot where
the monkey would land and aims directly
A car is traveling east at velocity v. It rounds a
corner, turning to the north but keeping the same
speed. In what direction is the average
acceleration?
N
vf
W
E
vi
S
Projec'le Mo'on
Vo
h
A gun res a bullet horizontally at velocity V0.
An automobile accelerates from rest at 2 m/s2 for 20 s.
The speed is then held constant for 20 seconds. Then,
there is an acceleration of -3 m/s2 until the automobile
stops. What is the total distance traveled?
X=1467 m
A ball is thrown upward with an ini
PHYSICS 10310: Mechanics
Prof. Justin R. Crepp
[email protected]
Office Hours: Mon. 3-5pm [NSH 339C]
A really bored physics student whirls a ball on a string
in a horizontal circle of radius R=0.8m. If the magnitude
of the centripetal
Physics 70007, Fall 2009
Solutions to HW #4
November 2009
1. (Sakurai 2.11)
Consider a particle subject to a one-dimensional simple harmonic oscillator potential. Suppose at
t = 0 the state vector is given by
exp
ipa
~
|0i
where p is the momentum operator
Physics 70007, Fall 2009
Solutions to Homework #3
October 30, 2009
1. (Sakurai 1.28)
(a) Let
x
and
px
be the coordinate and linear momentum in one dimension. Evaluate the classical
Poisson bracket
[x, F (px )]classical
The classical Poisson bracket is den
Physis 70007, Fall 2009
Solutions to HW #5
Deember 2, 2009
1. Consider the ase of a partile with mass m in an innite potential well dened by a potential V (x) = 0
for 0 x L and V (x) = otherwise.
(a) Find the eigenfuntions n (x) and the energy spetrum En
1(35) The Unknown Central Force
y
An object of mass m is acted on by an unknown central force which causes it to travel
in a circular path of radius R about the force
center. As shown in the figure to the right,
the object is moving with constant angular
1(25) Short Answer Questions
a(5) Using m, l and t as the symbols for the dimension of mass, length and
time, what are the dimensions of force and momentum?
The units of force are Newtons, or kg m/s2 . For momentum, we have mass
times velocity, or kg m/s.
Physics 70007, Fall 2009
Answers to HW set #1
September 27, 2009
1. Convince yourself that x and p are Hermitian operators, and show that the phonon creation
operator a is the Hermitian adjoint of the phonon destruction operator a.
Since position and mome
1(40) Gravitational Systems
Two heavy spherical (radius 0.05R) objects are located at fixed positions along
2M
m
2M
0
R
an axis in space. The first mass is centered at r = 0 and has a mass of 2M .
The second mass is centered at r = R and has a mass of 2M
1(50) Quantum Systems
A quantum object is known to have five energy levels. In order to learn about the
system, you shine light on a cold collection of many of these objects. In measuring the
light coming through the system, you observe that the following
1(50) Mr Conehat is developing a stunt for the circus using a spring-like device that he has
developed. He calls it a sproing, and notes that like a spring, the stored potential energy
depends on the compression or stretch of the sproing. If he defines th
1(50) The Gas Cloud
A small satellite of mass m has been placed in a circular orbit around the center
of a large, spherical, uniform density, c , gas cloud of radius R. The satellites
orbit, with radius r, is actually inside of the cloud, but the clouds d
Matter & Interactions I: 33131
Fall 2010
Exam, 22 October, 2010
Name (print) Solution Key
Last,
First
Section:
Name (sign)
This exam is 8 pages long. If you are missing a page, please contact the invigilator
(proctor). There are 100 points possible in thi
1(35) Two masses, m1 and m2 undergo a collision. As seen in the lab frame, m1 is
initially moving with velocity ~v1 = v1 x and m2 is at rest. This is shown in the
picture below. We will consider the system of the two masses both before, and
after the coll