Chapter 1
Vectors
Vectors are arrows
j
v1 2i j
i
v2 1.5 i 0.5 j
v3 i j
v4 2i j
What are these vectors?
v1 2i
j
v2 i 1.5 j
v3 i 2 j
i
v4 3i 2 j
Magnitude of a vector
= Length of the arrow
v 4 i 3 j
2
2
v 4 3 5
If v ai bj
2
2
v a b
3
4
What are the m
Chapter 3
Motion in two or more dimensions
Two dimensional motion
The vertical and horizontal components
decouple
v vxi vy j
vx and vy evolve independently
Calculate vx and vy separately
Vertical and horizontal
decouple
1D equation splits into 2D
1 2
sx s
Chapter 4
Newtons Laws of Motion
Sir Isaac Newton
Philosophiae Naturalis Principia Mathematica
(1687)
Opticks (1704)
"Natureandnature'slawslayhidinnight;
Godsaid'LetNewtonbe'andallwaslight."
Newtons Three
Inertia:
Laws
Every body continues in its state of
Chapter 2
Motion in one dimension
(motion under constant acceleration)
Motion under constant
acceleration
v
v, a,t; nos
s, v,t; noa
s, a,t; nov
s, v, a; not
Rewrite: s = s - s0
v
v, a,t; nos
s, v,t; noa
s, a,t; nov
s, v, a; not
Reminder:
Chapter 5
Applications of
Newtons Law
Static friction vs Kinetic
friction
Static Friction
Kinetic friction is the friction when the object is moving. Static friction is
when it is at rest.
f s sn
Oryoucansay :
f s,max = sn
f s : Staticfriction
s : Coeffi
Phys 170
Newtons Laws
Two Blocks and Tension
m1
a
T
m2
a
F 30N, m1 1kg, m2 2kg
T
T m1a
F
F T m2 a
Solving the Equations
T m1a
F T m2 a
Adding the equations gives:
F m1a m2 a (m1 m2 )a
F
30N
2
a
10m/ s
m1 m2 1kg 2kg
T (1kg)(10m/ s ) 10N
2
Recipe for Mul
Chapter 6
ENERGY AND ENERGY TRANSFER
ENERGY IS
CONSERVED
Energy is conserved meaning it
can not be created nor destroyed
Can change form
Can be transferred
Total energy does not change with
time.
ENERGY
Forms
Kinetic Energy
Potential Energy
Heat
Unit: J (
Chapter 2
Motion in one dimension
s, v, a
Displacement: (m)
Where you are
Velocity: (m/s)
The rate of change of displacement
Acceleration: (m/s2)
The rate of change of velocity
Note: Your textbook use x instead of s
Equations
ds change of displacement s
v