MOMENTUM, IMPULSE, AND COLLISIONS II
Intended Learning Outcomes after this lecture you will learn:
1. characteristics of elastic collisions.
2. center of mass and its relation to center of gravity.
3. the dynamics of the center of mass of a system or a bo
MOMENTUM, IMPULSE, AND COLLISIONS I
Intended Learning Outcomes after this lecture you will learn:
1. impulse as an indication of the effect of a force which is in effect for a short time.
2. the relation between impulse and momentum change the impulse mom
DYNAMICS OF RIGID BODIES III
Intended Learning Outcomes after this lecture you will learn:
1. how to deal with a rigid body rotating about a moving axis, e.g. a yo-yo
2. the ideal case of rolling without slipping.
3. rolling friction in realistic cases.
4
DYNAMICS OF RIGID BODIES II
Intended Learning Outcomes after this lecture you will learn:
1. how to calculate the moment of inertia of simple symmetric rigid bodies
2. the parallel axis theorem to find the moment of inertia about different rotation axis
3
TEMPERATURE AND HEAT
Intended Learning Outcomes after this lecture you will learn:
1. zeroth law of thermodynamics
2. the absolute (Kelvin) temperature scale
3. thermal expansion
4. heat capacity and latent heat (revision)
5. heat transfer conduction, con
GRAVITATION II
Intended Learning Outcomes after this lecture you will learn:
1. Keplers laws of planetary motion
2. gravitation effect of a spherical mass distribution is the same as a point mass
3. the apparent weight due to rotation of the earth
4. the
DYNAMICS OF RIGID BODIES I
Intended Learning Outcomes after this lecture you will learn:
1. radian as a measure of angle
2. angular displacement, velocity and acceleration and their vector representation
3. angular motion as compared to rectilinear motion
ANGULAR MOMENTUM
Intended Learning Outcomes after this lecture you will learn:
1. the angular moment of a system of particles and rigid body.
2. how to describe dynamics of a system using its angular momentum.
3. conservation of angular momentum.
4. prece
Exam version: #
PHYS1112 General Physics I
spring 2013, midterm Examination
Name: _
23 March 2013
Student ID:_
Seat No.: _
Declaration of Academic Integrity: I confirm that I have answered the questions using only
materials specifically approved for use i
PHYS126 Fall 2011 HW #8 Due 01 April
1) Show that the following function of general sinusoidal wave ( x) = a sin(kx) + b cos(kx) is equivalent to the following expression ( x) = Ae ikx + Be ikx . Please also give expressions for A and B in terms of a and
P HYS126 HW6 Solution 1. Solution A. By using
B.
Inverse the equation to get W hen n =2, W hen n =3, For n>3, , t he solution does not exist.
2. Solution A. As the object is a blackbody, assume all the energy and momentum of photon are absorbed perfectly
PHYS126 Spring 2011 Homework 6, Due March 18, beginning of lecture.
1. X-rays of wavelength 0.2 nm are diffracted off a crystal. The first order Bragg maximum is measured at a glancing angle of 17.5 degrees. (a) What is the spacing of the planes that are
1
a for long wavelengths, hc / k BT = 1
hc / k BT
So e
1 = hc / k BT
2 hc 2 1 2 hc 2 k BT 2 ck BT I = = = 5 e hc / kBT 1 5 hc 4
20
15
10
5
0
1
2
3
4
5
6
The red one is Rayleigh-Jeans function, the Blue one is Planck distribution. The X axis is the wavele
PHYS126 Spring 2011 Homework 5, Due March 11, beginning of lecture. In the following,
h = Plancks constant; c = Speed of light; kB = Boltzmann constant.
In lecture, we described the Planck distribution function for blackbody radiation using the frequency
Homework 4 solution 1a) = 2 m 2 v 2 c 2 + m 2 c 4 = ( 2 v 2 + c 2 )(mc) 2
v2 c2 =( + c 2 )(mc )2 = ( 2 2 )(mc) 2 v2 c v 1 2 c 2 =E
b) E = 2+4 = 6GeV p = 4*2^0.5 GeV/c v/c = pc/E v = 2*2^0.5 *c/3 = 0.943c E = E pi + E p
2a)
1116 2 + ( pc) 2 = 938 + 140 2 +
PHYS126 Spring 2011 Homework 4, Due March 4, beginning of lecture. 1a. In lecture, we proved ( pc) 2 + (mc 2 ) 2 = E 2 from the space-time relation. Prove this
v2 v2 1 2 c2 c into the right hand side. After some algebra, you will get the left hand side. 1
1.Solution: Take the spacecraft as the rest frame and the earth as the moving frame Assume the length of the antenna is L in the rest frame (spacecraft frame), Because the velocity of the spacecraft has no length contraction effect on the direction which
PHYS126 Spring 2011 Homework 3 Due Feb 25, beginning of lecture.
1. Beiser (textbook), Chapter 1, Exercise 21.
2. Lecture 3: Slide #28 We have shown that when measured at t = 0 in cfw_s, length contraction results. We now decide to do this length measurem
PHYS126 Spring 2011 Homework 2 Solution t ABA = 2L 2(500) = = 2.0833hr 2 v 1002 c 1 2 500 1 2 c 500 2L 2(500) = = = 2.0412hr 2 v 1002 c 1 2 500 1 c 5002
1. (a)
(b)
t ACA
2. Consider the figure in Lecture 2 note slide #37, suppose there are two frames S an
PHYS126 Spring 2011 Homework 2 Due Feb 18, beginning of lecture. 1. An airline, all the planes fly with an airspeed of 500km/h, serves three cities, A, B and C, where B is 500km due east of A, and C is 500km due north of A. On a certain day, there is a st
Solution to Homework 1 Let c = speed of the swimmer in still water v = velocity of water current L = distance between starting and end points t1 = roundtrip time swimming along the river current t2 = roundtrip time across the river current
Round trip of t
Let c = speed of the swimmer in still water v = velocity of water current L = distance between starting and end points t1 = roundtrip time swimming along the river current t2 = roundtrip time across the river current Show in general, using classical veloc