Explore the power of aeroplanes, spaceships and horses.
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Find out some of the mathematics behind neural networks.
Get some practice using big and small numbers in chemistry.
Ever wondered what it would be like to vaporise a diamond? Find out inside...
Work out the numerical values for these physical quantities.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
How fast would you have to throw a ball upwards so that it would never land?
Look at the calculus behind the simple act of a car going over a step.
Work in groups to try to create the best approximations to these physical quantities.
Read all about electromagnetism in our interactive article.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
What is an AC voltage? How much power does an AC power source supply?
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT
This is the technology section of stemNRICH - Core.
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
See how the motion of the simple pendulum is not-so-simple after all.
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
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
How high will a ball taking a million seconds to fall travel?
Can you work out the natural time scale for the universe?
An introduction to a useful tool to check the validity of an equation.
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
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 Lorentz force law for charges moving in different ways.
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?
Find out how to model a battery mathematically
Which line graph, equations and physical processes go together?
How does the half-life of a drug affect the build up of medication in the body over time?
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
Things are roughened up and friction is now added to the approximate simple pendulum
Show that even a very powerful spaceship would eventually run out of overtaking power
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?
When you change the units, do the numbers get bigger or smaller?
Which units would you choose best to fit these situations?
Can you match up the entries from this table of units?
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
A look at different crystal lattice structures, and how they relate to structural properties
A think about the physics of a motorbike riding upside down
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.
An article about the kind of maths a first year undergraduate in physics, engineering and other physical sciences courses might encounter. The aim is to highlight the link between particular maths. . . .
Derive an equation which describes satellite dynamics.
Some explanations of basic terms and some phenomena discovered by ancient astronomers
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?
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.