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.
Derive an equation which describes satellite dynamics.
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
See how the motion of the simple pendulum is not-so-simple after all.
What is an AC voltage? How much power does an AC power source supply?
When a mixture of gases burn, will the volume change?
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
A think about the physics of a motorbike riding upside down
How does the half-life of a drug affect the build up of medication in the body over time?
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.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
Things are roughened up and friction is now added to the approximate simple pendulum
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
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?
A look at different crystal lattice structures, and how they relate to structural properties
Can you match up the entries from this table of units?
A series of activities to build up intuition on the mathematics of friction.
How do these modelling assumption affect the solutions?
Follow in the steps of Newton and find the path that the earth follows around the sun.
Derive Euler's buckling formula from first principles.
This article, including exercises, gives a thorough grounding in the topic of AC/DC circuits.
Explore the mathematics behind the famous Wheatstone Bridge circuit.
As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.
Prove that you can make any type of logic gate using just NAND gates.
Find the equation from which to calculate the resistance of an infinite network of resistances.
A look at power generation using wind turbines.
A preview of some of the beam deflection mechanics you will look at in the first year of an engineering degree
Can you work out which of the equations models a bouncing bomb? Will you be able to hit the target?
At what positions and speeds can the bomb be dropped to destroy the dam?
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
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?
Use the logarithm to work out these pH values
In this question we push the pH formula to its theoretical limits.
Investigate the mathematics behind blood buffers and derive the form of a titration curve.
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
Can you work out how to produce the right amount of chemical in a temperature-dependent reaction?
At what temperature is the pH of water exactly 7?
A brief introduction to PCR and restriction mapping, with relevant calculations...
Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?
Doug has just finished the first year of his undergraduate engineering course at Cambridge University. Here he gives his perspectives on engineering.
Explore the relationship between resistance and temperature
If a is the radius of the axle, b the radius of each ball-bearing, and c the radius of the hub, why does the number of ball bearings n determine the ratio c/a? Find a formula for c/a in terms of n.
Can you work out what this procedure is doing?
Use combinatoric probabilities to work out the probability that you are genetically unique!