PREPARATORY QUESTIONS LAB 6
1. When two carts collide, momentum is conserved before and after the
collision. If the carts are of equal mass, there momentum will be of equal
magnitude. In the case that two carts collide and stick, momentum is still
conserv
Set 1
Set 2
Set 3
Set 4
Mass cart A Mass Cart B
508.3
519
508.3
1277.8
508.3
519
508.3
1277.8
Momentum Calculation
21.975
25.1424
35.58927
34.9336
-108.6227
-94.3658
177.5222
-141.089443
33.4946
21.0922
102.58257
142.87994
927.981
93.5998
-556.094
-192.16
PHY224H1F
Exercise 4: Nonlinear fitting methods II
Nonlinear fitting methods II
Nonlinear circuits
We continue with the curve fitting from the previous exercises, but extend it to powerlaw
models. A lightbulb demonstrates various power laws; resistance an
PHY224H1F
Exercise 1: Numerical integration methods
Numerical integration methods
The spring and mass
You will get experimental data of a mass-spring system, and write a Python program to solve
the equation of motion. You will then use this simulation dat
PHY224H1F
Exercise 2: Introduction to fitting methods
Introduction to fitting methods
Ohms law
The function curve_fit() is introduced for fit ting linear data. You will perform voltage and
current measurements on a resistor to find the resistance via Ohms
PHY224H1F
Exercise 3: Nonlinear fitting methods I
Nonlinear fitting methods I
Analysis of a Radioactive decay We continue with the curve fitting from the past exercise,
but extend it to nonlinear models. Radioactive decay is an example of an exponential r
PHY224H1F
Assignment 2: Introduction to scientific computing
Introduction to scientific computing
Due: Oct. 2, 2016, before 6 p.m., to your TA drop box. Drop boxes are located behind MP137
In this assignment, we focus on loading data and creating plots. T
Introduction
Error Analysis in Experimental Physical
Science
Author
This document is Copyright 2001, 2004 David M. Harrison, Department of Physics,
University of Toronto, [email protected] The last revision occured on $Date:
2011/09/10 18:34:4
PHY224 Introductory Exercise:
Oscillations of a hoop
Goal: to determine the acceleration due to gravity
Materials: 4 hoops, stand with knife support, stop watch, meter stick, caliper.
Method: Your choice.
Warning: Treat the hoops with care! They are easil
Uncertainty Problems for PHY131
Let A = 923 7, B = 82.65 0.04, C = 1.7182 0.0003 and D = 364 3.
Calculate the following values, with uncertainties, using both the simplified method and the
proper method.
Note that a fully correct answer will be rounded ex
LAST NAME
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First Name(s)
as on student card
Student Number
Practical Group
Code
PHY131H1F
Term Test version A
Tuesday, September 30, 2014
Duration: 80 minutes
Aids allowed: A pocket calculator with no communication ability. A single aid-
Family Name (Please print
in BLOCK LETTERS)
Given Name(s)
as on student card
Student Number
Practical Group
Code (eg. FxA)
PHY131H1F
Term Test version 1
Tuesday, October 2, 2012
Duration: 80 minutes
Aids allowed: A pocket calculator with no communication
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The Torsion Pendulum
(One or two weights)
Exercises I through V form the one-weight experiment.
Exercises VI and VII, completed after Exercises I -V, add one weight more.
Preparatory Questions:
1. The torsional stiffness, or the torsion constant, , is def
Page 1 of 8
Chaotic Motion
(One or two weights)
Exercises I through IV form the one-weight experiment.
Exercises V through VII, completed after Exercises I-IV, add one weight more.
This challenging experiment demands your independent study and creativity.
A QUICK GUIDE TO CAPSTONE SOFTWARE
Hardware configuration
After you start the Pasco Capstone software, you can find the Hardware Setup tool in the Tools
palette.
In general, the interface will automatically recognizes all PASSPORT sensors that you plugged
1
Static and Kinetic Friction
(One or two weights)
Part I is worth one weight.
Part II adds one weight more.
Recommended reading: R.A.Serway and J.W.Jewett, Jr. Physics for Scientists and Engineers 8th
ed. (Thomson, 2010). Chapter 5.8.
Preparatory Questio
Wilberforce Pendulum
(One or two weights)
For a 1 weight experiment do Part 1 (a) and (b).
For a 2 weight experiment do Part1 and Part 2
Recommended readings:
1. PHY152 University of Toronto. Selected Material From University Physics with Modern Physics
b
Elastic properties of solids
Page 1 of 8
Elastic Properties of Solids
(One or two weights)
Exercises I through IV form the one-weight experiment.
Exercises V through VII, completed after Exercises I-IV, add one weight more.
This is a rare experiment where
CONSERVATION OF MOMENTUM AND ENERGY (AIR TRACK)
PREPARATORY QUESTIONS
1. Make sure that you understand the principle of conservation of momentum. When two
carts collide, is momentum conserved at each instant before, during and after the
collision? If the
PHY180
Newton 1 & 2
Lecture 6
Sections 4.6, 5.1-5.5
Newtons Second Law
d
F~ = m~v
dt
Typical case: mass m does not change in time, so
2
d
d
F~ = m ~v = m~a = m 2 ~x = m~x
dt
dt
Force is a vector
~a
F
~a + F
~b
F
~b
F
Acceleration due to Net Force: vector
PHY180
Circular Motion
4.4-4.5 in text
Circular Motion
~v
object
trajectory
Simplest case:
Uniform circular motion = constant speed.
(Is there acceleration in this case?)
What is constant?
increasing omega
constant omega
y
y
1.0
1.0
0.5
0.5
2
4
6
8
10
t
2
PHY180 Lecture 2
More about Motion
Displacement
Definite integrals
Average versus instantaneous quantities
v(t) is the slope of x(t)
v(t)a(t) is the slope of v(t)
a(t)
x(t)
x(t)
v(t)
x(t)
x(t)
v(t)
d/dt
R
dt
x(t)
x
change in x(t) is
the area under v(t)
v
Piazza begins!
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Noise control
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PHY180 Lectures 1,2
Motion
The dynamics of position, velocity, and acceleration
Mechan
PHY180
Classical Mechanics
(aka Elements of Physics I)
Joseph Thywissen
[tie-wiss-en]
Brian Wilson
lecturer
lab coordinator
What is Classical Mechanics?
Study of forces and motion
d
~
F = m~v
dt
You may have studied mechanics in high school, but now:
Cal
University of Toronto Mississauga
Department of Mathematical and Computational Sciences
Course Notes
MAT102H5
Introduction to Mathematical Proofs
Shay Fuchs
September 15, 2017
Table of Contents
Preface
3
1 Numbers, Quadratics and Inequalities
7
1.1
The Qu