Math Quiz for Physics 1401
Name:_KEY_
1. x + y = 31.4 and x - y = 7.6. Solve for x and y.
x = 19.5
y = 11.9
2. x - y = 10 and x - 2y = 7. Solve for x and y.
x = 13
y=3
3. Using the figure below, write down the definitions of the following three functions
Special Theory of Relativity
A Brief introduction
Classical Physics
At
the end of the 19th century it looked as if
Physics was pretty well wrapped up.
Newtonian
mechanics and the law of
Gravitation had explained how the planets
moved and related that to
5-17
The given factors are:
M := 35 kg
d :=
Fy = 0
gives
N M g cos( ) F sin( ) = 0
gives
3.6 m
sin()
:= 15 deg
:= 0.2 h := 3.6 m
d = 13.9 m
N = M g cos( ) + F sin( )
F cos() M g sin( ) N = 0
n
Fx = 0
n
Therefore, when we substitute N into this equatio
SELECTED CHAPTER 3 HOMEWORK
Questions 006 and 007
014
y
1
2
y 0 + v y0 t g t
2
turns into
y
1
2
g t
2
The time it takes to fall -3 meters is given by
3
because
1
2
g t
2
or
y0
0
t
and
v yo
0
6 m
g
The ball must stay in the air long enough for it to trav
We can derive his third law for the special case of a circular orbit. (A circle is an ellipse with
zero ellipticity)
The gravitational force of the Sun on a planet in a circular orbit of radius r is given by
F = G.MS.mP/r2
EQ. 1
This force provides the ce
Sound Waves
Chapter 14
What Is Sound?
Sound is a disturbance that travels though a
material medium
Air: Pressure disturbance
Solids: Vibrations of the lattice
vair = (331 + 0.60TC)m/s
Therefore at T = 20oC we have
vair = 343 m/s = 1125 ft/s = 767 mph
Vibr
VIBRATIONS AND
WAVES
Chapter 13
VIBRATIONS AND WAVES
Waves carry (propagate) energy
W aves on a string
Light waves
Waves are related to oscillations
So we begin by looking first at simple oscillatory
motion
Simple Harmonic Motion (I)
Specific type of peri
Thermodynamics
Chapter 12
Thermodynamics
Thermodynamics is a field that describes
systems with very many particles
Keeping track of this many particles with
Newtons Laws is impossible
Therefore, we use macroscopic variables
such as pressure and temperatur
Heat
Chapter 11
Heat
Heat is energy that is transferred between a system and its
environment because of a temperature difference between
them.
Q is used to represent the amount of energy transferred by heat
between a system and its environment
Units of He
Temperature
and
Kinetic Theory
Chapter 10
Heat and Thermal Equilibrium
W hat is Heat?
Heat is energy in motion. i.e. in transit.
Transferred from one object to another because of a
temperature difference
Objects exchanging heat are said to be in thermal
c
Solids and Fluids
Chapter 9
Solids and Fluids
Solids
Definite shape and volume
Fluids
Liquids
Definite volume Shape of container
Gases
Shape and volume of its container
Solids
Not really solid
All solids are deformable
It is possible to change the size an
Rotational Motion and
Equilibrium
Chapter 8
Translational and Rotational
Motion
The most general motion of a rigid body can be analyzed as a
translation of the center of mass plus a rotation about its center of
mass.
Rolling Without Slipping
1
Rolling Wit
Circular Motion and
Gravitation
Chapter 7
Angular Measure
W e want to take up the study of Gravitation, but in
order to understand the development we need to
define some ideas about circular motion.
Circular motion is motion in two dimensions
Therefore we
Linear Momentum and
Collisions
Chapter 6
Linear Momentum Defined
The linear momentum of an object of mass
m moving with a velocity v is defined as
the product of the mass and the velocity
p=mv
SI Units are kgm/s
It is a vector quantity. The direction of t
Work and Energy
Chapter 5
Energy Considerations
So far we have considered the description of motion
- Kinematics, and the quantity that determines
motion - Force.
We now take up an alternative analysis of motion
that is built upon the conservation of En
Force and Motion
Chapter 4
Force
A net force is required to cause a change in motion
of an object.
A change in motion means acceleration
The precise relationship between net force and the
resulting acceleration is contained in Newtons
Second Law of motion
Motion in Two
Dimensions
Chapter 3
Components of Motion
Kinematic Equations for
Motion in Two Dimensions
For Constant Acceleration
x = x0 + v0xt + a xt2
y = y0 + v0yt + a yt2
vx = v0x + axt
vy = v0y + ayt
vx2 = v0x2 + 2ax(x x0)
vy2 = v0y2 + 2ay(y y0)
1
Cu
Motion in One
Dimension
Chapter 2
Distance = Total Path Length
Vector Displacement
1
Average Velocity
v ave
x
xf xi
t
t f ti
Pick t
0
x
or
0 and get
v ave
v ave
x
x x0
t
t t0
x x0
t
x0 + vave t
Uniform Linear Motion
Constant Velocity
Example of Uniform Mo
Measurement And
Problem Solving
Chapter 1
The Scientific Method
1.
2.
3.
Recognition of a problem.
Hypothesize a model which could provide an
answer or solution.
Predict the consequences of your hypothesis. If
there are none, stop right there!
These conse