Review for Final Exam Exam format:

- 25 problems; 5 from the last 3 chapters; 3 advanced, 3 intermediate, 19

simple - Time: Wed. Dec. 11, noon-3pm- Place: Physics, Room 306

- Make-up exam: Thur., same time and place

Test materials: - Pencil, eraser, paper, and calculator

- formulae sheet provided

Responsible for:- Class notes for Chapters 1-14, 16,

17.5-6, 18.1-2 - All homework assignments, previous tests - Example problems done in class

Material Covered

1/3: Units, significant figures, scalars, vectors, components of a vector

2/4: 1D/2D kinematics (trans.), free-fall, projectile motion, relative velocity

5: Forces, Newton’s Laws (translational)

6: Friction, tension, springs, uniform circular motion, ac, period

7/8: Work, KE, PE, Conservation of Energy, Power

9: Impulse, 1D/2D Collisions, Conservation of Momentum

10: Rotational kinematics, vT, aT, KR, moment of inertia

11: Rotational dynamics, torque, Newton’s Laws, Conservation of Angular Momentum

12: Gravitational force, Kepler’s Laws, gravitational potential, escape speed

13: Simple Harmonic Motion, spring, pendulum, damped harmonic motion, forced harmonic motion

14: Waves, speed of sound, Doppler Effect, superposition and interference of waves, standing waves, beats

16: Temperature, density, pressure, thermal expansion, specific heat, heat transfer - convection, conduction, and radiation, 3rd law of thermodynamics

17: Latent heat and phase changes (17.5-6)

18: 0th and 1st laws of thermodynamics (18.1-2)

Example: Linear Thermal ExpansionA cylindrical drinking glass is placed inside another cylindrical glass. The two just fit, because the outer radius (0.035 m) of the inside glass is equal to the inner radius of the outside glass. The glass inside is then filled with cold water at 5 °C, while the outside glass is heated to 45 °C by running hot water over it. Find the separation between the two glasses.

Solution:

Given: r01=r02=r0=0.035m Tf1=5 °C, Tf2=45 °C, from Table 12.1 =8.5x10-6 C°-1

Method: inner glass contracts while other glass expands

Gap=21 rrR

But T01=T02=T0=?

m x102.1

)545)(035.0)(x105.8()(

)( )(

)( )(

5-

6-120

00200010

020010

21

0202022

0101011

R

TTr

TrTrTrTrTTrTTrR

rrRTTrTrrTTrTrr

ff

ff

ff

f

f

r0

rf1

rf2