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

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

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

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

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

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. . . .

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. . . .

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

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

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

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

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?

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

Which line graph, equations and physical processes go together?

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

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

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

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

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

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

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

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

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 Lorentz force law for charges moving in different ways.

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

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

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

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

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

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

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

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

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

Explore the power of aeroplanes, spaceships and horses.

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.

Derive an equation which describes satellite dynamics.

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

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

Which units would you choose best to fit these situations?

Get some practice using big and small numbers in chemistry.

This is the technology section of stemNRICH - Core.

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

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