Chapter 4: Forces and Newton's Laws of
Motion (Part 1)
Tuesday, September 17, 2013
10:00 PM
In Chapters 2 and 3 of this course the emphasis is on kinematics, the
mathematical description of motion. In Chapter 4, the heart of the course, we
shift the empha
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Student ID:
Brock University
Physics 1P21/1P91
Fall 2013
Dr. DAgostino
Solutions for Tutorial 4: Chapter 3, Vectors and Two-Dimensional Motion
The goals of this tutorial are:
understand vector operations, both graphically and numerically
practice
Brock University
Physics 1P21/1P91
Fall 2013
Dr. DAgostino
Solutions for Tutorial 3: Chapter 2, Motion in One Dimension
The goals of this tutorial are:
understand position-time graphs, velocity-time graphs, and their connections
practice using the kinem
Brock University
Physics 1P21/1P91
Fall 2013
Dr. DAgostino
Solutions for Tutorial 2: Chapter 1, Motion Diagrams
The purpose of this tutorial is to make sure you understand important kinematics concepts such as position, displacement, distance, velocity, a
Brock University
Physics 1P21/1P91
Fall 2013
Dr. DAgostino
Solutions for Tutorial 5: Chapter 4, Forces and Newtons Laws of Motion
The goals of this tutorial are:
understand the concept of force
understand Newtons laws of motion
Clearly indicate whether
Brock University
Physics 1P21/1P91
Fall 2013
Dr. DAgostino
Solutions for Tutorial 6: Chapter 5, Applying Newtons Laws
The goals of this tutorial are:
understand Newtons laws of motion
apply Newtons laws of motion in simple situations
For questions 1 and
Brock University
Physics 1P21/1P91
Fall 2013
Dr. DAgostino
Solutions for Tutorial 8: Chapter 7, Rotational Motion
The goals of this tutorial are:
understand torque, centre of mass, and moment of inertia
understand rotational kinematics
understand the r
Brock University
Physics 1P21/1P91
Fall 2013
Dr. DAgostino
Solutions for Tutorial 10: Chapter 10, Energy and Work
The goals of this tutorial are:
understand work, energy, and power
use the principles of conservation of momentum and energy to solve vario
Chapter 9: Rotational Dynamics
Tuesday, September 17, 2013
10:00 PM
The fundamental idea of Newtonian dynamics is that "things happen for a reason;"
to be more specific, there is no need to explain rest or motion in a straight line at a
constant speed. Ho
Brock University
Physics 1P21/1P91
Mathematics Review Exercises
(answers at end)
Work each exercise without using a calculator.
1. Express each number in scientic notation.
(a) 437.1
(b) 563, 000
(c) 0.0023
(d) 0.0000468
2. Multiply the numbers.
(a) (5 10
Chapter 10: Simple Harmonic Motion
Oscillations are back-and forth motions. Sometimes the word
vibration is used in place of oscillation; for our purposes, we can
consider the two words to represent the same class of motions.
In the ideal case of no frict
Chapter 6: Work and Energy
Tuesday, September 17, 2013
10:00 PM
The core of this course is Newton's laws of motion. However, there
are more advanced concepts (energy and momentum) that allow us
alternative interesting perspectives on Newtonian mechanics,
Chapter 4B: Applications of Newton's
Laws
Tuesday, September 17, 2013
10:00 PM
General strategy for using Newton's second law to solve problems:
1. Draw a diagram; select a cordinate system
2. Identify relevant objects/agents
3. Sketch an interaction sche
Chapter 7: Impulse and Momentum
Tuesday, September 17, 2013
10:00 PM
In the previous chapter we discussed energy, and in this chapter we discuss momentum.
The concepts of momentum and energy provide alternative perspectives to Newton's
laws of motion and
Chapter 5: Dynamics of Uniform Circular
Motion
Tuesday, September 17, 2013
10:00 PM
Rotational Kinematics
We'll discuss the basics of rotational kinematics in this chapter; the kinematics
equations for constant angular acceleration are discussed in Chapte
Chapter 8: Rotational Kinematics
Tuesday, September 17, 2013
10:00 PM
Rotational Kinematics
We discussed the basics of rotational kinematics in Chapter 5; we complete the
story here, including the kinematics equations for constant angular acceleration.
It
July-15-14
10:39 AM
Chapter 3 Kinematics in Two Dimensions
Summary of Key Concepts
vectors (1.5 to 1.8)
scalar and vector quantities (1.5)
representing vectors numerically and graphically (1.5)
converting from length + direction to components and vice
Chapter 28: Special Relativity
Tuesday, September 17, 2013
10:00 PM
"Relativity" by M.C. Escher, 1953.
Which way is up?
Frames of Reference, a film featuring two University of Toronto physicists, Pat
Hume and Donald Ivey, 1960:
http:/www.youtube.com/watch
July-15-14
10:39 AM
Chapter 2 Kinematics in One Dimension
Newtonian mechanics: kinematics and dynamics
Kinematics: mathematical description of motion (Ch 2, Ch 3)
Dynamics: how forces affect motion (Ch 4)
Summary of Key Concepts
position, displacement, d
Brock University
Physics 1P21/1P91
Fall 2013
Dr. DAgostino
Solutions for Tutorial 9: Chapter 9, Momentum
The goals of this tutorial are:
understand momentum, impulse, and the impulse-momentum theorem
understand angular momentum
understand a version of
Brock University
Physics 1P21/1P91
Fall 2013
Dr. DAgostino
Solutions to Tutorial 7: Chapter 6, Circular Motion, Orbits, and Gravity
The goals of this tutorial are:
understand gravity and Newtons law of gravity
understand orbital motion and Keplers third
PHYS 1P21/1P91
Quiz 4 Solutions
28 May 2013
1. A 2000-kg car is parked on a 20 slope. Determine the magnitude of the frictional force acting on
the car. [3 points]
Solution: First draw a free-body diagram (the forces are the weight mg, the normal force n,
BROCK UNIVERSITY
Final Exam: December 2013
Course: PHYS 1P21/1P91
Examination date: 14 December 2013
Time of Examination: 12:00 15:00
Number of
Number of
Number of
Instructor:
pages: 3
students: 183
hours: 3
S. DAgostino
A formula sheet is included with t
BROCK UNIVERSITY
Final Exam: June 2013
Course: PHYS 1P21/1P91
Examination date: 8 June 2013
Time of Examination: 16:00 19:00
Number of
Number of
Number of
Instructor:
pages: 3
students: 86
hours: 3
S. DAgostino
A formula sheet is included with the test pa
Chapter 27: Special Relativity
Tuesday, September 17, 2013
10:00 PM
"Relativity" by M.C. Escher, 1953.
Which way is up?
Frames of Reference, a film featuring two University of Toronto physicists, Pat
Hume and Donald Ivey, 1960:
http:/www.youtube.com/watch
Chapter 4: Forces and Newton's Laws of
Motion
Tuesday, September 17, 2013
10:00 PM
In the first three chapters of this course the emphasis is on kinematics, the
mathematical description of motion. In Chapters 4 and 5, the heart of the course,
we shift the
Sunday, September 01, 2013
1:43 PM
Brock University
PHYS 1P21/1P91
Mechanics and Introduction to Relativity
Course Overview
_
Overview of Mechanics
Core theories of mechanics:
Quantum
Field
Theory
(1920s -1970s)
Quantum
Mechanics
(1926)
Relativistic
Mecha
Chapter 3: Vectors and Motion in Two
Dimensions
Tuesday, September 17, 2013
10:00 PM
Vectors are useful for describing physical quantities that have both
magnitude and direction, such as position, displacement, velocity,
acceleration, force, and many othe