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

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

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

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

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

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

A think about the physics of a motorbike riding upside down

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

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

Work out the numerical values for these physical quantities.

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

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?

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

Use trigonometry to determine whether solar eclipses on earth can be perfect.

Get some practice using big and small numbers in chemistry.

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?

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?

Explore displacement/time and velocity/time graphs with this mouse motion sensor.

Which units would you choose best to fit these situations?

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

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

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

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

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

Which line graph, equations and physical processes go together?

Find the equation from which to calculate the resistance of an infinite network of resistances.

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

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

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

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

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.

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

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.

Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.

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

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

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

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

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

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

Can you arrange a set of charged particles so that none of them start to move when released from rest?

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