Download PHYS 202 Review Notes for Exam 1

PHYS 202 Review Notes for Exam 1 Spring 2008
Review for PHYS 201
I. Kinematics
Constant acceleration:
Motion in a circle:
vxf = vxi + axt
xf - xi =(vxi + vxf)t / 2
xf - xi = vxit + axt2 / 2
vxf2 = vxi2 + 2ax(xf - xi)
a = v2/r
II. Dynamics
Newton’s Second Law:
Newton’s Third law:
III. Work and Energy
F = ma
FAB = - FBA
 F.ds
Work:
W=
Kinetic Energy:
Potential Energy:
Conservation of Energy
K = mv2/2
U = -W
E = K + U is constant or
E = K + U = 0
Chapter 13
I. Universal Law of Gravity
F = GMm / r2
attraction along line joining m1 and m2
II. Gravitational Potential Energy
U = - GMm / r
III. Kepler's Laws
A. Planets move around the Sun in elliptical orbits.
B. The planets sweep out equal areas in equal times as they orbit the Sun.
Equivalent to conservation of angular momentum.
C. The square of the period of the planet's orbit is proportional to the cube
of its semimajor axis (radius for a circular orbit).
IV. Planetary orbits - energy considerations
A. E = U + K
B. E = - GMm / 2r
C. K = |E|
D. K = |U| / 2
Chapter 23
I. Coulomb's Law
F = keq1q2 / r2 = q1q2/ 40r2
along line joining q1 and q2
unlike charges attract - like charges repel
II. If several charges use superposition:
A. discrete 
MUST ADD AS VECTORS!
B. continuous 
III. Conductors vs. insulators
A. Charges relatively free to move in conductors; E = 0 inside.
B. Charges not so free to move on insulators; can support volume distributions.
IV. Electric field:
E = F/q0
(and thus F = q0E)
(direction same as force on positive test charge)
A. Point Charge: E = q / 40r2 = keq / r2
along radial direction
B. Distributions of charge : superposition
1) discrete 
MUST ADD AS VECTORS!
2) continuous 
C. Charge distributions
1) volume  = Q/V
2) surface  = Q/A
3)
line  = Q/l
Chapter 24
I. Gauss's law:
 E  dA
E =
= qin / 0
A. Symmetries:
1) spherical 2) cylindrical (linear) 3) planar
B. Method:
1) note symmetry
2) draw appropriate Gaussian surface
3) calculate electric flux E
4) set E = qin / 0
5) solve for E
Chapter 25
I. Potential:
V = VB - VA = U/q0
Recall
U = -W
II. Potential for point charge:
V = keq/r
(V () = 0)
III. Distributions: superposition
A) discrete 
ADD AS SCALARS!
B) continuous 
IV. Potential Energy:
U = qV
V. V from E and E from V
(V () = 0)
B
A) VB -VA = -  E • ds
A
B) Ex = -dV / dx
(for any direction x - all components obtained in
this manner)