Look at the calculus behind the simple act of a car going over a step.
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?
Work in groups to try to create the best approximations to these physical quantities.
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
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.
How high will a ball taking a million seconds to fall travel?
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
Find out some of the mathematics behind neural networks.
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.
Explore the power of aeroplanes, spaceships and horses.
This is the technology section of stemNRICH - Core.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
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
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
Things are roughened up and friction is now added to the approximate simple pendulum
Show that even a very powerful spaceship would eventually run out of overtaking power
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
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?
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.
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?
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
Can you match up the entries from this table of units?
What is an AC voltage? How much power does an AC power source supply?
Which line graph, equations and physical processes go together?
Where will the spaceman go when he falls through these strange planetary systems?
Some explanations of basic terms and some phenomena discovered by ancient astronomers
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.
Read all about electromagnetism in our interactive article.
When a mixture of gases burn, will the volume change?
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 introduction to a useful tool to check the validity of an equation.
Derive an equation which describes satellite dynamics.
A look at different crystal lattice structures, and how they relate to structural properties
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
A think about the physics of a motorbike riding upside down
Find out how to model a battery mathematically
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. . . .
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
Which units would you choose best to fit these situations?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Get some practice using big and small numbers in chemistry.
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?