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Scientific Notations, Uncertainty & Propagation of Errors : A simple approach
Mastering Physics Course ID: PHYA10H3F08
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Mechanics and Special Relativity (ACM10030)
Assignment 4
Issue Date: 13 April 2010
Due Date: 20 April 2010
In these questions, you may use the following conversion factor relating the electron-volt
to Joules: 1 eV = 1.60217646 1019 Joules, where the Joule
This Lecture
Motion
Motionin
in1D
1D continue.
continue.
3.1-4.4
3.1-4.4
vectors
vectors
4.5
4.5
Projectile
Projectilemotion
motion
4.6
4.6
Range
Rangeof
ofprojectile
projectile
Problems:
Physics Aid Centre
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From xx.xx
Chapter 10: Energy
WHAT IS ENERGY?
Unlike force, displacement, or even momentum, energy is a
very difficult concept to define.
Indeed, it is such an elusive concept that its use wasnt
widely recognised by physicists until the mid 19th century;
150 years a
Mechanics and Special Relativity (ACM10030)
Assignment 3
Issue Date: 23 March 2010
Due Date: 30 March 2010
1. Refer to Fig. 1. A projectile of mass m is fired from the surface
p of the earth at an
angle from the vertical. The initial speed v0 is equal to
Work & Energy!
Outline
Work and Kinetic energy
Work done by a net force results in kinetic energy
Some examples: gravity, spring, friction
Work done by some (conservative) forces can be retrieved.
This leads to the principle that energy is conserved
Conse
& Explosions
Collisions
What is a collision?
No external forces
Momentum is conserved
An isolated event involving 2 or more objects
Usually interact (often strongly) for short time
Equal and opposite impulses are exerted on each other
J x Favgt
Collisions
Mechanics and Special Relativity (MAPH10030)
Assignment 2
Issue Date: 16 February 2010
Due Date: 23 February 2010
1. Consider a particle that is constrained on top of a semicircle (See Fig. 1). Gravity
points downwards. Suppose that the particle starts fr
Mechanics and Special Relativity (ACM10030)
Assignment 1
Issue Date: 02 February 2010
Due Date: 09 February 2010
1. Recall the equations of trajectory motion in a uniform gravitational field g:
x = x0 + u0 t,
y = y0 + v0 t 12 gt2 .
(1a)
(1b)
where (x0 , y
PHYS1100 Practice problem set, Chapter 6: 2, 3, 5, 11, 15, 17, 30, 35, 37, 41, 49, 67
6.2. Model: The boat is treated as a particle whose motion is governed by constant-acceleration kinematic
equations in a plane.
Visualize:
Solve: Resolving the accelerat
Chapter 6: Motion in a Plane
Kinematics in two dimensions:
- same basic physics as kinematics in 1-D;
- same representations (e.g., motion diagrams);
- all we do is up the math a little-vectors!
Strategy:
- use x and y to label the two axes needed to defi
Mechanics and Special Relativity (ACM10030)
Assignment 2
Issue Date: 28th February 2011
Due Date: 21st March 2011
+
1. Force and torque One force acting on a machine part is F = (5.00 N) x
The vector from the origin to the point where the force is applie
Mechanics and Special Relativity (ACM10030)
Assignment 4
Issue Date: xx April 2010
Due Date: xx April 2010
Collection Date: xx April 2010
In these questions, you may use the following conversion factor relating the electron-volt
to Joules: 1 eV = 1.602176
PHYA10S - 2015
LN-09
Elastic Collision, Energy
and
Conservation of
Momentum
Reading this week:
Chapter-9 (9.4-9.7)
Chapter-10 (10.1-10.4)
In 1 dimension
2
3
Elastic Collision 1D
Before
After
m1
m2
v1i
v2i = 0
m1
m2
v1f
v2f
We want to find V1f and V2f
4
Mo
Mechanics and Special Relativity (MAPH10030)
Assignment 4
Issue Date: Tuesday 13 April 2010
Due Date: Wednesday 21 April 2010
Collection Date: Friday 23 April 2010
In these questions, you may use the following conversion factor relating the electron-volt
Mechanics and Special Relativity (MAPH10030)
Assignment 2
Issue Date: 16 February 2010
Due Date: 23 February 2010
1. Consider a particle that is constrained on top of a semicircle (See Fig. 1). Gravity
points downwards. Suppose that the particle starts fr
PHYS1100 Practice problem set, Chapter 8: 5, 9, 14, 20, 22, 25, 28, 30, 34, 35, 40, 44
8.5. Visualize:
Solve: The top figure shows the pulley (P), block A, block B, the surface S of the incline, the rope (R), and the
r
earth (E). In indicating the various
Mechanics and Special Relativity (MAPH10030)
Assignment 3
Issue Date: 03 March 2010
Due Date: 24 March 2010
In question 4, a numerical answer is required, with precision to three significant
figures. Marks will be deducted for more or less precision. You
PHYS1100 Practice problem set, Chapter 7: 9, 13, 17, 21, 25, 35, 40, 41, 48, 53, 54
7.9. Model: The rider is assumed to be a particle.
Solve:
Since ar = v2 / r, we have
(
)
v2 = ar r = 98 m/s2 (12 m ) v = 34.3 m/s
Assess: 34.3 m/s 70 mph is a large yet un
PHYS1100 Practice problem set, Chapter 5: 4, 7, 10, 13, 20, 22, 28, 31, 46, 50
5.4.
Model: We can assume that the coach and his sled are a particle being towed at a constant velocity by the
two ropes, with friction providing the force that resists the pul
PHYS1100 Practice problem set, Chapter 1: 6, 7, 9, 16, 19, 40, 41, 44
1.6.
Solve: The player starts from rest and moves faster and faster (accelerates).
1.7. Solve: The particle starts with an initial velocity but as it slides it moves slower and slower t
PHYS1100 Practice problem set, Chapter 14: 4, 8, 13, 16, 18, 22, 35, 36, 43, 61, 67, 75
14.4. Model: The air-track glider attached to a spring is in simple harmonic motion.
Visualize: The position of the glider can be represented as x(t) = A cos t.
Solve:
Chapter 13: Rotation of a Rigid Body
The rigid body model:
Practitioners of other sciences often poke fun at
physicists who stereotypically start off a class
by asking you to Consider a spherical cow
In fact, this is the particle model, which has
actually
Chapter 7: Motion in a Circle
A particle undergoes uniform circular motion when it
moves in a circle with a constant speed.
v = |v| = constant
Because the path is a circle, v is
always tangential to the path.
Period: the time it takes to go
around the cir
PHYA10 - Mechanics
LN 12
Simple Harmonic Motion
Oscillations
Oscillations (whether sinusoidal or otherwise) have
some common characteristics:
1. They take place around an equilibrium
position;
2. The motion is periodic and repeats with each
cycle.
2
Frequ
Mechanics and Special Relativity (MAPH10030)
Assignment 3
Issue Date: 03 March 2010
Due Date: 24 March 2010
In question 4, a numerical answer is required, with precision to three significant
figures. Marks will be deducted for more or less precision. You
Isaac Newton
1642-1727
Force & Motion
Dynamics: Force & Motion
Defining Force
Questions:
What is a force?
What is the connection between force and motion?
Definitions:
A force is a push or pull on an object.
A force is a vector. It has both magnitude