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?

A think about the physics of a motorbike riding upside down

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

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

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

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

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

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

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

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

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

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

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

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

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

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?

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

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

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.

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

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.

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

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

This is the technology section of stemNRICH - Core.

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

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

Derive an equation which describes satellite dynamics.

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

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

Explore the power of aeroplanes, spaceships and horses.

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

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

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?

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

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

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

Work out the numerical values for these physical quantities.

Which units would you choose best to fit these situations?

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

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

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

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. . . .

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