PHY 116 From Newton to Einstein
Worked Answers to Coursework Sheet 1: Vectors
Marks out of 36
Note: If you do not include any explanation of what you do, or why you think it to
be right, you will get either half marks for a correct answer (these are the m

Simultaneity and Time Dilation
We derive the equations of Special Relativity from two Postulates:
1.
The Principle of Relativity. All the laws of physics have the same form
in all inertial frames of reference. This is an extension of Newtons
principle, si

PHY4116 From Newton to Einstein
Exercise Sheet 3 Answers: Dynamics
Marks out of 20
_
These answers contain about the right amount of explanation that you should always
include in coursework and exam answers, plus examples of the kind of checking you
shoul

PHY 116 From Newton to Einstein
Model Answers to Coursework Sheet 5: Rigid Bodies
Marks out of 22 + 8
_
1).
A gramophone turntable has a kinetic energy of 0.25 J when turning at 78
rev/min. What is the moment of inertia of the turntable about the axis of

Waves and Oscillations
Assessed Problem Set 2
Question 1
A platform oscillates in the vertical direction with simple harmonic motion. Its amplitude of oscillation is C. What is the range of frequency of oscillation for a mass placed on the platform to
rem

SPA 4116 From Newton to Einstein
Coursework Sheet 6: Gravity & Coriolis force
_
Marks out of 22
You will need the constants,
REarth = 6.37106 m
RMoon = 1.74106 m
MEarth = 5.971024 kg
MMoon = 7.351022 kg
A1) State Keplers Third Law. Derive it for a planet

PHY 116 From Newton to Einstein
Worked Answers to Exercise Sheet 2: Kinetics
Marks out of 20
This sheet has what I would regard as the absolute minimum of explanation,
discussion and checking that is acceptable in coursework and in exam scripts.
1).
A per

Waves and Oscillations
Answers to Assessed Problem Set 2
Question 1
There are two forces acting on the cork: gravity mg and the Archimedes force (Buoyancy) gV ,
where rho is the density of water and V is the volume of cork immersed in water. In equilibriu

PHY 116 From Newton to Einstein
Worked Answers to Exercise Sheet 4: Circular Motion
Marks out of 20
1).
A stone with a mass 0.6 kg is attached to one end of a string 0.9m long. The
string will break if the tension exceeds 600N. The stone is rotated in a h

SPA-4217
Waves and Oscillations
Homework 1
Question 1
(a) ddtx = k
x=kx
+k =0
x = kt x
+ kt = 0
(b) ddtx t
(c) Ff rc 12 mx 2 , F = m
x m
x 12 kmx 2 m
x = 12 kmx 2 x
+ 12 k x 2 = 0
(d) v(t0 + t) v(t0 ) v(t0 )t
(e)
dkE
dt
v(t)
d 1
2)
dt ( 2 mx
v(t0