Find out how to model a battery mathematically
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
A think about the physics of a motorbike riding upside down
A look at different crystal lattice structures, and how they relate to structural properties
Show that even a very powerful spaceship would eventually run out of overtaking power
Things are roughened up and friction is now added to the approximate simple pendulum
Investigate some of the issues raised by Geiger and Marsden's famous scattering experiment in which they fired alpha particles at a sheet of gold.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
When a mixture of gases burn, will the volume change?
Derive an equation which describes satellite dynamics.
What is an AC voltage? How much power does an AC power source supply?
See how the motion of the simple pendulum is not-so-simple after all.
How does the half-life of a drug affect the build up of medication in the body over time?
Can you match up the entries from this table of units?
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
Follow in the steps of Newton and find the path that the earth follows around the sun.
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
Use vectors and matrices to explore the symmetries of crystals.
Explore the relationship between resistance and temperature
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Find the equation from which to calculate the resistance of an infinite network of resistances.
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
Who will be the first investor to pay off their debt?
At what positions and speeds can the bomb be dropped to destroy the dam?
Can you work out which of the equations models a bouncing bomb? Will you be able to hit the target?
Prove that you can make any type of logic gate using just NAND gates.
Explore the distribution of molecular masses for various hydrocarbons
This article, including exercises, gives a thorough grounding in the topic of AC/DC circuits.
Derive Euler's buckling formula from first principles.
A preview of some of the beam deflection mechanics you will look at in the first year of an engineering degree
The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked?
Investigate the mathematics behind blood buffers and derive the form of a titration curve.
Can you make matrices which will fix one lucky vector and crush another to zero?
A look at power generation using wind turbines.
A brief introduction to PCR and restriction mapping, with relevant calculations...
Investigate the molecular masses in this sequence of molecules and deduce which molecule has been analysed in the mass spectrometer.
How do these modelling assumption affect the solutions?
In this question we push the pH formula to its theoretical limits.
At what temperature is the pH of water exactly 7?
Use the logarithm to work out these pH values
Can you work out how to produce the right amount of chemical in a temperature-dependent reaction?
A series of activities to build up intuition on the mathematics of friction.
As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.
Explore the mathematics behind the famous Wheatstone Bridge circuit.
Put your complex numbers and calculus to the test with this impedance calculation.