PHYs1250Rlndamental Phy cs
Qu
October27,2014
Thne a11owed 90 1inutes
Answer ALL questions
The gravitational acceleration is1abeled as throughout the paper
1
(
A ring of mass m FIXED on a horizontal wir A hght string oflength R has one end
. Initia11y,
of
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics
Suggested Solution to Extra Problem Set 1
If you find any errors/typos, please email them to:
math1020@math.cuhk.edu.hk
2
1. (a) Graph y =
same.
2
x2 , y = x, y =
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics
Suggested Solutions to Extra Problem Set 5
If you find any errors/typos, please email them to:
math1020@math.cuhk.edu.hk
2
1. In Problems (a)  (e),
(a) v = i j,
w
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics (Fall 2015)
Homework 4
Due Date: November 20, 2015
Name:
Student No.:
Class:
Final Result:
I acknowledge that I am aware of University policy and regulations on hon
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020A General Mathematics (Fall 2015)
Homework 6
Due Date: December 9, 2015
Name:
Student No.:
Class:
Final Result:
I acknowledge that I am aware of University policy and regulations on hon
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020A General Mathematics (Fall 2015)
Homework 5
Due Date: December 4, 2015
Name:
Student No.:
Class:
Final Result:
I acknowledge that I am aware of University policy and regulations on hon
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics (Fall 2014)
Homework 3
Due Date: October 30, 2015
Name:
Student No.:
Class:
Final Result:
I acknowledge that I am aware of University policy and regulations on hone
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics (Fall 2015)
Due Date: September 25, 2015
Name:
Student No.:
Class:
Final Result:
I acknowledge that I am aware of University policy and regulations on honesty
in ac
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics (Fall 2015)
Homework 2
Due Date: October 16, 2015
Name:
Student No.:
Class:
Final Result:
I acknowledge that I am aware of University policy and regulations on hone
PHYS0625/PHYS1240 Physics by Inquiry
2015/16 Homework 2
(Due date: 19 Oct 2015, 2:00 pm)
1. A wrecking ball (weight WL = 4800 N) is supported by a boom, which may be assumed
to be uniform and has a weight of WB = 3600 N. As Fig. 1 shows, a support cable
r
SCNC1111
Scientific Method and Reasoning
Lecture 4
A Real Example of Scientific Inquiry that
Involves Guesstimation
20150918
Dr. William M.Y. Cheung
1
Reminders!
In the tutorial next week, we will initiate our
work on the Group Project.
Stay tuned!
B
EDTA Titrations
Introduction
1.) Metal Chelate Complexes
Any reagent which reacts with an analyte in a known ratio and with a large
equilibrium constant can potentially be used in a titration.
Complexation Titrations are based on the reaction of a metal i
SCNC1111
Scientific Method and Reasoning
Lecture 5
Mathematical Modelling
20150918 & 22
Dr. William M.Y. Cheung
1
Previously on SCNC1111
How to come up with
a nonambiguous
theory?
Observation
(Generalization
via
induction)
What do you
mean by being
non
PHYS1250 Fundamental Physics
Assignment One
Due Date: 5:00p.m., October 9, 2015
The gravitational acceleration is denoted by g throughout this paper.
1. A particle starts from the origin O and moves in a horizontal plane with a constant acceleration
(2 i
Unit 9
Gravitation
9.1
Universal Gravitation
9.2
Gravitational field
9.3
Gravitational potential energy
9.4
Satellite orbits
9.5
Launching a satellite
9.6
Mechanical energy of a satellite
9.7
Keplers laws
9.1
Gravitation
Newtons law of universal gravitati
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics
Suggested Solution to Extra Problem Set 2
If you find any errors/typos, please email them to:
math1020@math.cuhk.edu.hk
2
1. The function f (x) = x is not oneto
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics
Suggested Solution to Extra Problem Set 3
If you find any errors/typos, please email them to:
ath1020@math.cuhk.edu.hk
2
Remark: In the following, sin1 x represents
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics
Suggested Solution to Extra Problem Set 4
If you find any errors/typos, please email them to:
math1020@math.cuhk.edu.hk
2
1. Find the vertex, focus, and directrix o
PHYS1250 Fundamental Physics
Assignment Two
Due Date: November 13, 2013
1. The string shown in the figure is driven at a frequency of 5.00 Hz. The amplitude of the motion
is A = 12.0 cm, and the wave speed is v = 20.0 m/s. Furthermore, the wave is such th
PHYS1250 Fundamental Physics
Assignment Three
Due Date: November 29, 2013
1. Three identical point charges, each of mass m = 0.100 kg, hang from three strings are in
equilibrium, as shown in the figure. If the lengths of the left and right strings are eac
PHYS1250 Fundamental Physics
Problem Set 6
November 25, 2013
1. Three polarizing sheets are aligned to form an optical system, which is along the path of
initially unpolarized light. The polarizing direction of the first sheet is parallel to the y axis,
t
PHYS1250 Fundamental Physics
Assignment One
Due Date: October 11, 2013
1. A light Lshaped framework has two arms. The length of longer arm is 2L and that of the
shorter arm is L. Particle A, of mass 2m, and particle B, of mass 3m are attached to the
long
PHYS1250 Fundamental Physics
Problem Set 3
October 21, 2013
1. A uniform square plate 6 m on a side has had a square piece 2 m on a side cut out of it. The
center of that piece is at x = 2 m , y = 0. The center of the square plate is at x = y = 0. Find
th
PHYS1250 Fundamental Physics
Problem Set 1
September 16, 2013
1. A balloon is launched from the ground and it rises vertically upward with constant speed v.
An observer at a horizontal distance R from the balloon records the elevation angle at time
t. Fin
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PHYS1250 Fundamental Physics
Problem Set 4
November 4, 2013
1. A 4Hz wave with an amplitude of 12 cm and a wavelength of 27 cm travels along a stretched
horizontal string.
(a) How far does a given peak on the wave travel in a time interval of 0.75 s?
(b)
PHYS1250 Fundamental Physics
Problem Set 5
November 18, 2013
1. Four charged particles are at the corners of a square of side a. The arrangement is shown in
the figure. Determine the electric field at the location of charge q and the total electric force
PHYS1250 Fundamental Physics
Problem Set 2
September 30, 2013
1. An object is at rest on a horizontal plane which has rough surface. If the coecient of static
friction between the object and the plane equals one (i.e. s = 1), nd the minimum force
that can
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