Challenge Level

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

Challenge Level

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

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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. . . .

Challenge Level

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

Challenge Level

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

Challenge Level

Show that even a very powerful spaceship would eventually run out of overtaking power

Challenge Level

Which line graph, equations and physical processes go together?

Challenge Level

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

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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?

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. . . .

Challenge Level

A think about the physics of a motorbike riding upside down

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

Challenge Level

Derive an equation which describes satellite dynamics.

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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.

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

Which units would you choose best to fit these situations?