A look at different crystal lattice structures, and how they relate
to structural properties
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
Get some practice using big and small numbers in chemistry.
Work out the numerical values for these physical quantities.
Use trigonometry to determine whether solar eclipses on earth can be perfect.
How fast would you have to throw a ball upwards so that it would
Explore the power of aeroplanes, spaceships and horses.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Ever wondered what it would be like to vaporise a diamond? Find out
A look at the fluid mechanics questions that are raised by the
Which line graph, equations and physical processes go together?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Read all about electromagnetism in our interactive article.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
When you change the units, do the numbers get bigger or smaller?
Which units would you choose best to fit these situations?
Can you work out the natural time scale for the universe?
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?
A simplified account of special relativity and the twins paradox.
Find out some of the mathematics behind neural networks.
How high will a ball taking a million seconds to fall travel?
Explore displacement/time and velocity/time graphs with this mouse
Find the equation from which to calculate the resistance of an
infinite network of resistances.
Problems which make you think about the kinetic ideas underlying
the ideal gas laws.
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
A look at a fluid mechanics technique called the Steady Flow
What is an AC voltage? How much power does an AC power source
Have you got the Mach knack? Discover the mathematics behind
exceeding the sound barrier.
Explore the Lorentz force law for charges moving in different ways.
Investigate the effects of the half-lifes of the isotopes of cobalt
on the mass of a mystery lump of the element.
Where will the spaceman go when he falls through these strange planetary systems?
Investigate why the Lennard-Jones potential gives a good
approximate explanation for the behaviour of atoms at close ranges
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.
Gravity on the Moon is about 1/6th that on the Earth. A
pole-vaulter 2 metres tall can clear a 5 metres pole on the Earth.
How high a pole could he clear on the Moon?
See how the motion of the simple pendulum is not-so-simple after
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
Can you arrange a set of charged particles so that none of them
start to move when released from rest?
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
An article demonstrating mathematically how various physical
modelling assumptions affect the solution to the seemingly simple
problem of the projectile.
Explore how can changing the axes for a plot of an equation can
lead to different shaped graphs emerging
When a mixture of gases burn, will the volume change?
Things are roughened up and friction is now added to the
approximate simple pendulum
Explore the rates of growth of the sorts of simple polynomials
often used in mathematical modelling.
Can you match up the entries from this table of units?
Show that even a very powerful spaceship would eventually run out
of overtaking power
Advanced problems in the mathematical sciences.