Physics 9A Final Exam Study Sheet
The final exam will comprehensive with approximately 34% on the material from this study
sheet. Three problems will be on material from this sheet and the remaining 66% will be
from the material covered on the two previous study sheets. There will be two problems
on the exam similar to problems on the midterms. You will be allowed one 8
1
2" ª 11"
sheet of notes. You should spend half your time understanding the theory covered in your
lecture notes and half working problems. The problems are a very important part of
preparing for an exam. These should include problems that have not been assigned. The
exam will involve thinking NOT MEMORIZATION; therefore, you should get a good
night's sleep before the exam and come prepared to think. CRAMMING WILL NOT
HELP.
Chapter 10
Define or state as the case may be:
a) angular momentum
b) conservation of angular momentum
c) rotational equations of motion
d) conjugate momentum (e.g., px is the momentum conjugate to x and pEx
x=
∂∂
/˙)
e) translational invariance
f) time reversal invariance
Know and Understand:
1) How to find the sum of the torques on an object that is accelerating.
2) when and how to use conservation of angular momentum.
3) how torque and angular momentum are related.
4) how momentum conservation follows from translational invariance, and energy
conservation follows from time reversal invariance.
5) when and how to use conservation of angular momentum.
6) how torque and angular momentum are related.
7) know when L√ and ∑√ point in the same direction.
8) how to find a conserved momentum from the energy equation.
Chapter 12
Define or State:
a) Kepler's three laws,
b) Newton's law of gravitation,
c) conic section,
d) gravitational field
e) the rotational kinetic energy in terms of L, i.e., K = L
mr
2
2
2
Know & Understand:
1) how to derive Kepler's third law.
2) how and when to use Newton's law of gravitation.
3) why the moon doesn't hit the earth. Is it falling from the sky?
4) when we write E =
1
2mv2 + U(r), which components of the momentum are conserved.
5) Why the gravitational force on a mass goes to zero as the mass approaches the center of
Final Study Sheet - Page 1 of 2
a spherical planet.
