Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms

Things are roughened up and friction is now added to the approximate simple pendulum

Ever wondered what it would be like to vaporise a diamond? Find out inside...

Explore the Lorentz force law for charges moving in different ways.

Problems which make you think about the kinetic ideas underlying the ideal gas laws.

Explore the power of aeroplanes, spaceships and horses.

Can you work out the natural time scale for the universe?

Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.

Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT

How high will a ball taking a million seconds to fall travel?

See how the motion of the simple pendulum is not-so-simple after all.

A look at a fluid mechanics technique called the Steady Flow Momentum Equation.

Get some practice using big and small numbers in chemistry.

Where will the spaceman go when he falls through these strange planetary systems?

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.

This is the technology section of stemNRICH - Core.

Look at the calculus behind the simple act of a car going over a step.

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?

A think about the physics of a motorbike riding upside down

Derive an equation which describes satellite dynamics.

A look at different crystal lattice structures, and how they relate to structural properties

An introduction to a useful tool to check the validity of an equation.

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

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

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

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

What is an AC voltage? How much power does an AC power source supply?

An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.

Work out the numerical values for these physical quantities.

Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging

Some explanations of basic terms and some phenomena discovered by ancient astronomers

How fast would you have to throw a ball upwards so that it would never land?

Follow in the steps of Newton and find the path that the earth follows around the sun.

Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges

Work in groups to try to create the best approximations to these physical quantities.

This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.

A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?

Which units would you choose best to fit these situations?

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

When you change the units, do the numbers get bigger or smaller?

engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering