PY1052 Problem Set 2 Autumn 2004
Solutions
(1) Suppose we have the two vectors ~a = (4.8 m)i + (2.2 m)j and ~b =
(5.5 m)i (1.7 m)j. Find ~b ~a in (a) unit-vector notation and (b) in terms
of their magnitudes and angles relative to the x axis.
In unit-vect
PY1052 Problem Set 5 Autumn 2004
Solutions
1.5 m
N
F worker
0.91 m
mg
(1) A 45-kg block of ice slides down a frictionless ramp 1.5 m long and
0.91 m high. A worker pushes up against the ice along the ramp so that
the block slides down at constant speed. (
From: http:/physics.nist.gov/constants
Fundamental Physical Constants Extensive Listing
Quantity
Symbol
Value
Unit
Relative std.
uncert. ur
UNIVERSAL
m s1
N A2
N A2
F m1
(exact)
0
299 792 458
4 107
= 12.566 370 614. 107
8.854 187 817. 1012
Z0
376.730 313
PY1052 Problem Set 8 Autumn 2004
Solutions
H
h
(1) A solid ball starts from rest at the upper end of the track shown and rolls
without slipping until it rolls off the right-hand end. If H = 6.0 m and h = 2.0 m,
what is its speed when it rolls off the end?
PY1052 Problem Set 11
Due Friday, December 19, 2003
(1) What is the minimum amount of energy in joules required to completely
melt 130 g of silver initially at 15.0 C?
The specific heat of silver is c = 236 J/kg K, the melting point of silver is 1235 K, a
PY1052 Problem Set 4 Autumn 2004
Solutions
(1) An old streetcar rounds a flat corner of radius 9.1 m at a speed
of 16 km/hr. What angle with the vertical will be made by the loosely
hanging hand straps?
Tcos
T
to centre of circle
mg
Tsin
The straps hang
PY1052 Problem Set 7 Autumn 2004
Solutions
(1) In a game of pool, the cue ball strikes another ball of the same mass
that is initially at rest. After the collision, the cue ball moves at 3.50 m/s
along a line making an angle of 22 with its original direct
PY1052 Problem Set 6 Autumn 2004
Solutions
(1) The mass of the Earth is 5.98 1024 kg and the mass of the Moon is
7.36 1022 kg. The distance between them is 3.82 108 m, and the Earths
radius is RE = 6.37 106 m. (a) How far is the centre of mass of the Eart
Table of Information and Equation Tables for AP Physics Exams
The accompanying Table of Information and Equation Tables will be provided to
students when they take the AP Physics Exams. Therefore, students may NOT bring
their own copies of these tables to
PY1052 Problem Set 1 Autumn 2004
Solutions
(1) The famous physicist Enrico Fermi once pointed out that a standard
lecture period (about 50 minutes) is close to 1 microcentury. What is the
actual number of minutes in a microcentury?
1 microcentury = 1 106
PY1052 Problem Set 3 Autumn 2004
Solutions
C
F =8N
A
1
F = 25 N
A
2
(1) A force F1 = 8 N is exerted horizontally on block A, which has a
mass of 4.5 kg. The coefficient of static friction between A and the table is
s = 0.20, and the corresponding coeffici
PY1052 Problem Set 9 Autumn 2004
Solution
(1) A uniform rod with length l = 60 cm and mass M = 1.0 kg rotates about
an axis through one end. As the rod swings through its lowest position, the end
of the rod hits a small wad of putty with a mass of m = 0.2
4.3.6. The abrupt p-i-n junction
For a p-i-n junction the above expressions take the following modified form:
n + p + u = i Va
(4.3.36)
qN a x 2p
qN a x p d
qN d x n2
n =
, p =
and u =
2 s
2 s
s
(4.3.37)
qN a x p = qN d xn
(4.3.38)
Where u is the potenti
FranckCondon principle
Figure 1. FranckCondon principle energy diagram. Since electronic transitions are very fast compared with nuclear motions,
vibrational levels are favored when they correspond to a minimal change in the nuclear coordinates. The poten
PHYS 652: Astrophysics
5
20
Lecture 5: Solutions of Friedmann Equations
A man gazing at the stars is proverbially at the mercy of the puddles in the road.
Alexander Smith
The Big Picture: Last time we derived Friedmann equations a closed set of solutions
PY4113 Experimental Physics III
Kashas Rule
Frederick Richardson with John Hurley and Philip Lucid
22/09/2016
Abstract
In this experiment Kashas rule was verified for electronically excited molecules. This was done by exciting the electrons two dyes
disso
Kashas rule
Scheme of Kashas rule. A photon with energy h1 excites an electron of fundamental level, of energy E0 , up to an excited energy
level (e.g. E1 or E2 ) or on one of the vibrational sub-levels. Vibrational relaxation then takes place between exc
Agilent 8453 UV-visible
Spectroscopy System
Operators Manual
Notices
Agilent Technologies, Inc. 2002,
2003-2008, 2011
No part of this manual may be reproduced in
any form or by any means (including electronic storage and retrieval or translation
into a f
PY4112 - Gravitation and Cosmology
Problem Set 9
1) Consider the space time specified by the line element
GM
ds = 1
r
2
2
2
GM
dt + 1
dr2 + r2 d2
r
2
Except for r = GM , the coordinate t is always timelike and the coordinate
r is always spacelike.
(i) F
Physics 2107
Moments of Inertia
Experiment 1
Read the following background/setup and ensure you are familiar with the
theory required for the experiment. Please also fill in the missing equations 5,
7 and 9.
Background/Setup
The moment of inertia, I, of a
PY2107
Newtons Rings
Experiment 5
_
Physics 2107
Newtons Rings
Experiment 5
In this experiment you will study the phenomenon of Newtons Rings, and use it to
(A) Measure the wavelength of light, and
(B) The refractive index of water.
Background
In this opt
PY2107
Experiments with Sound
Experiment 3
_
Physics 2107
Experiments with Sound
Experiment 3
Background/Setup Elastic Deformation
Stretching, Compression and Youngs Modulus
We all know that a spring returns to its original shape when the applied force th
PY2107
(A) Newtonian Cooling and (B) the Adiabatic Index of Air
Experiment 4
_
Physics 2107
(A) Newtonian Cooling and
Experiment 4
(B) Adiabatic Index of Air
This experiment consists of two components, Parts A and B. In the first, you will
measure the adi
PY2107
The Photoelectric Effect
Experiment 7
_
Physics 2107
The Photoelectric Effect
7
Background
In 1899 J.J. Thomson found that under certain conditions electrons are emitted from a
clean metal surface when exposed to electromagnetic radiation. This phe
PY2107
The Balmer Series of Hydrogen
Experiment 8
_
Physics 2107
The Balmer Series of Hydrogen
8
- Determination of the Rydberg Constant
Background
Observing that atoms only emit light at definite spectral frequencies demonstrates
electrons in atoms only
Coupled Oscillations
Definition:
Summary:
linear chain of n identical bodies (mass m) connected to one another and to fixed endpoints by
identical ideal springs (spring constant k)
The positions as functions of time are
n
xP(t) = 3 c ivPi cosit
distance
PY2107
Millikens Experiment
Experiment 6
_
Physics 2107
The charge on the electron:
Experiment 6
Millikens Oil Drop Experiment
Background
In 1909 Milliken designed an experiment to measure the value of the charge on a
single electron, e, as follows.
Consi
Observation of the Sun and Moon with a small telescope
Open practical PY2107
Important note: each person must obtain their own independent
measurements, and use these in their own, independently written, report.
Part 1: Observations of the Sun
Objective