This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
When a mixture of gases burn, will the volume change?
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.
Ever wondered what it would be like to vaporise a diamond? Find out inside...
Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT
An introduction to a useful tool to check the validity of an equation.
Find out some of the mathematics behind neural networks.
Look at the calculus behind the simple act of a car going over a step.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
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. . . .
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
Work in groups to try to create the best approximations to these physical quantities.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
Which line graph, equations and physical processes go together?
What is an AC voltage? How much power does an AC power source supply?
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
When you change the units, do the numbers get bigger or smaller?
This is the technology section of stemNRICH - Core.
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?
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.
Where will the spaceman go when he falls through these strange planetary systems?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
See how the motion of the simple pendulum is not-so-simple after all.
Can you work out the natural time scale for the universe?
How high will a ball taking a million seconds to fall travel?
Get some practice using big and small numbers in chemistry.
Derive an equation which describes satellite dynamics.
Find out how to model a battery mathematically
Read all about electromagnetism in our interactive article.
A think about the physics of a motorbike riding upside down
Which units would you choose best to fit these situations?
A look at different crystal lattice structures, and how they relate to structural properties
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
chemNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of chemistry, designed to help develop the mathematics required to get the most from your study. . . .
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.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Some explanations of basic terms and some phenomena discovered by ancient astronomers
Things are roughened up and friction is now added to the approximate simple pendulum
Explore the power of aeroplanes, spaceships and horses.