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

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

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

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

This is the technology section of stemNRICH - Core.

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

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

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

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

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

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?

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.

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

Which line graph, equations and physical processes go together?

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

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.

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

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

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

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

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

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.

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

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

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

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

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

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

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

A think about the physics of a motorbike riding upside down

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

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. . . .

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

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

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

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