Which line graph, equations and physical processes go together?

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

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

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

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. . . .

PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics

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

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

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

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

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

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.

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

A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.

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

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

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

Explore the power of aeroplanes, spaceships and horses.

Which units would you choose best to fit these situations?

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

How does the half-life of a drug affect the build up of medication in the body over time?

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

Derive an equation which describes satellite dynamics.

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

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

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

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?

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.

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

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 Momentum Equation.

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?

Can you match up the entries from this table of units?

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

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

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

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?

This is the technology section of stemNRICH - Core.

Get some practice using big and small numbers in chemistry.

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

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

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

Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991