Find out how to model a battery mathematically
Show that even a very powerful spaceship would eventually run out of overtaking power
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
How does the half-life of a drug affect the build up of medication in the body over time?
See how the motion of the simple pendulum is not-so-simple after all.
A think about the physics of a motorbike riding upside down
A series of activities to build up intuition on the mathematics of friction.
Derive an equation which describes satellite dynamics.
Prove that you can make any type of logic gate using just NAND gates.
What is an AC voltage? How much power does an AC power source supply?
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
When a mixture of gases burn, will the volume change?
A look at power generation using wind turbines.
Can you match up the entries from this table of units?
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
At what positions and speeds can the bomb be dropped to destroy the dam?
Explore the mathematics behind the famous Wheatstone Bridge circuit.
This article, including exercises, gives a thorough grounding in the topic of AC/DC circuits.
Things are roughened up and friction is now added to the approximate simple pendulum
How do these modelling assumption affect the solutions?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
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.
Can you work out which of the equations models a bouncing bomb? Will you be able to hit the target?
A look at different crystal lattice structures, and how they relate to structural properties
Derive Euler's buckling formula from first principles.
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
Can you work out how to produce the right amount of chemical in a temperature-dependent reaction?
Find the equation from which to calculate the resistance of an infinite network of resistances.
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?
As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.
In this question we push the pH formula to its theoretical limits.
A preview of some of the beam deflection mechanics you will look at in the first year of an engineering degree
At what temperature is the pH of water exactly 7?
Use the logarithm to work out these pH values
Investigate the mathematics behind blood buffers and derive the form of a titration curve.
Follow in the steps of Newton and find the path that the earth follows around the sun.
Use combinatoric probabilities to work out the probability that you are genetically unique!
A brief introduction to PCR and restriction mapping, with relevant calculations...
Put your complex numbers and calculus to the test with this impedance calculation.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.
Find the distance of the shortest air route at an altitude of 6000 metres between London and Cape Town given the latitudes and longitudes. A simple application of scalar products of vectors.
Bricks are 20cm long and 10cm high. How high could an arch be built without mortar on a flat horizontal surface, to overhang by 1 metre? How big an overhang is it possible to make like this?
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?
Investigate the molecular masses in this sequence of molecules and deduce which molecule has been analysed in the mass spectrometer.