Lec42. Review for the final:
Review for final I: unit3, unit4 (Friday, Dec
3);
Review for final II: Selected topics (mostly in units 1, 2) (Monday, Dec
6, 12-1p, RLM 7.104)
Suggestion on review for finals
o Course
summaries: 1, 2, 3, 4
o Understanding
all problems in 4 midterms, including the difficult ones.
o Understand
all questions covered in both final review sessions.
Office hours:
o Today: 2:45-4pm (*Let me know if you want to see me)
o Wednesday:
12:15-1:15pm
o Final:
Friday 9-12noon, ECJ1.202
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Review
final I:
Unit 3:
1.
Potential energy (U), E=K+U
1). Attractive potential:
Satellite problems (bound states, unbound states)
o K, U, E
o Circular
orbit: K=-U/2, E= -U/2+U=U/2.
o Shooting
from one orbit to the next
o Launching a
rocket along vertical direction: Maximum height
o Escaping
from launching pad to infinity with kinetic energy Kf
2). Repulsive potential
o Energy
curves for pp collision (Qualitative description)
3). Pendulum: Over the top
o Rod-pendulum
vs String-pendulum
2. Energy
in macroscopic system:
o Interatomic bound, Morse potential
o Thermal
energy, Temperature, Heat flow,
o Dissipative
force, air resistance
3. Energy
quantization
o Bound
states in H-atom
o Photons:
Emission and absorption spectra
o Harmonic
oscillator levels: Equal spacing: EN=(N+1/2)
hbar omega0. Angular frequency: omega0=sqrt(k/m)
o A
comparison on vibration energy level for two types of materials
4. Energy
principle
o Center of
mass: Point system
o Energy
principle: Applied to point system. Applied to real system
o Textbook:
o Box
containing a spring (p365)
o Yo-yo
(p366)
o Pulling a
hockey puck (See my notes on the web)
o Pulling two
colliding disks (9P40)
o Ch9, hw2
o Moving
block connected by spring
o Pulling a
box
o Pulling a
chain
Unit 4.
1.
Collisions:
o Elastic:
Unequal mass, head-on, elastic collisions.
o Inelastic
o perfectly
inelastic
o Applications:
o Rutherford
scattering: Determine the distance of closest approach
o Collision of
a probe with composite system
2. Rotation
and Angular momentum:
o Rolling
down an inclined
o Translational
rotation (rotation of the center of mass) and rotation about the center of
mass.
o Child on a
MGR
o Planetary
motion (with the consideration of angular momentum)
o Central
force and conservation of angular momentum
o Kepler’s second law: dA/dt=constant
o Satellite-earth-moon
system
o Energy
curves associated with the planetary motion and escaping planetary system
Distance of closest approach.
Review final II: Selected topics.
(Mostly in units 1 and 2)
1. Comments on rolling down the incline. (Real system vs
point system)
2. Vectors: An example. Fx on an electron due to p in an H-atom.
3. Relativity: The parameters beta,
gamma, gamma x beta. E, p and mass.
4. Momentum principle, position
update and the rising ball problem.
5. Spring system. Series
and parallel connections. P143-144 Fig. 4.13, 4.15.
o
Young’s
modulus for a macroscopic cable and for one interatomic
bound.
6. Analytic solution to a mass-spring
system.
o
Hypothetical
case of drilling a hole through center of the earth. F=- (x/R)mg, leads
to harmonic oscillations.