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

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

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

A think about the physics of a motorbike riding upside down

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?

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

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

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

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

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

This is the technology section of stemNRICH - Core.

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Work out the numerical values for these physical quantities.

Which line graph, equations and physical processes go together?

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

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

Which units would you choose best to fit these situations?