Physics is the science of matter and energy, and
the interactions between them. The laws of
Physics enables us to predict and understand the
way the universe works.
2.Problem Solving
Problem solving is an essential part of
physics, problems may be quantitative with
a precise answer, or they may be
conceptual. For some problems, you may
need to use common sense reasoning to
estimate the values of important quantities.
3.Scientific Notation and Significant Figures
Scientific Notation is used to express very large and very
small numbers. We can also use prefixes to write very large
or very small numbers. The accuracy of a quantity is
reflected in the number of significant figures used to express
its value.
4.Units of Measure
The Primary units of mechanics involve length, time,
and mass. Most scientific work employs the SI system
of units, in which length is measured in meters, time in
seconds, and mass in kilograms.
5.Physical Quantities and Dimensions
We cannot give a definition of the concepts of length,
time, and mass, but treat them as "givens." Dimensions
of all quantities in mechanics can be expressed in terms
of length I, mass M, and time T.
6.The Mathematics of Physics
Algebra, trigonometry, and vectors are used in Physics. Algebra is essential for solving
systems of equations while coordinate systems require trigonometry and vectors to be
solved. A vector quantity has both magnitude and a direction which can be added
graphically or in terms of their components.
Chapter 3: Forces and Motion in One Dimension
Motion Along a Line
Kinematic equations
Normal Force
Acts perpendicularly to plane of contact
Occur whenever two surfaces of two objects contact each other
Free Body Diagrams
Used for analysis using Newton's Second Law
Simplified diagram showing all the forces acting on each
object involved in the problem
Friction
Force of friction
opposes the
motion
Kinetic Friction
When object is moving
Static Friction
When object is stationary
Free Fall Motion
When an object is falling under the sole
influence of gravity
A free-falling object has an acceleration of
9.8m/s^2 downwards
Tension
Force transmitted through a rope
from one end to another
An "ideal" cord has zero mass, does
not stretch and has equal tension
throughout the cord
Chapter 2
Motion
Position
The position of an object describes it's location relative to some origin or other reference point
Displacement is the change in an object's position. It depends only on the beginning and ending positions
Δr=rf −ri
Velocity
Velocity is a vector that measures how fast and in what direction something moves
Average Velocity
Vav =Δr/Δt
vav,x = (x2 −x1) /(t2 −t1)
Instantaneous Velocity
v = lim Δt→0 (Δr / Δt)
Acceleration
Average Acceleration
aav =Δv /Δt
Finding Acceleration From A Graph
The acceleration is the slope of a velocity-time graph
Instantaneous Acceleratoin
a = lim Δt→0 (Δv / Δt)
Forces
SI Unit
Newtons (N)
Newtons= kg x (m/s^2)
Force= Mass x Acceleration
F=ma
Newton's Laws
Newton's First Law
Every object in a state of uniform motion tends to remain in that state of motion unless an external force is
applied to it.
Newton's Second Law
The relationship between an object's mass m, its acceleration a, and the applied force F is F = ma. Acceleration
and force are vectors (as indicated by their symbols being displayed in slant bold font); in this law the direction of
the force vector is the same as the direction of the acceleration vector.
The total force on an object is the sum of these individual forces
Newton's Third Law
For every action there is an equal and opposite reaction.
Chapter 4
Statics
Deals with objects at rest
Statics and Equilibrium
Statics is an area of mechanics dealing with problems in which the velocity and acceleration are both zero
if the acceleration is zero then...
EF=F1+F2+K=0
Newton's 2nd Law Applications
Inclines
Normal force is perpendicular to the incline
To not slip...
Friction must be greater than the static friction times N
Projectile Motion
ax=0
ay=-g
Relationships among displacement, velocity, acceleration, and time for constant acceleration apply directly