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

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

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

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.

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

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

Derive an equation which describes satellite dynamics.

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

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

Get some practice using big and small numbers in chemistry.

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

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. . . .

Work out the numerical values for these physical quantities.

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

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

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

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

Explore the power of aeroplanes, spaceships and horses.

Which line graph, equations and physical processes go together?

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

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

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

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

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

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

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

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

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

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?

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

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

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

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

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.

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

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

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

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

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

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

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

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

Which units would you choose best to fit these situations?

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

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?