See how the motion of the simple pendulum is not-so-simple after all.
Can you work out the natural time scale for the universe?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
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. . . .
Look at the calculus behind the simple act of a car going over a step.
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
Read all about electromagnetism in our interactive article.
Find out some of the mathematics behind neural networks.
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
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.
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
Which line graph, equations and physical processes go together?
Explore the power of aeroplanes, spaceships and horses.
How high will a ball taking a million seconds to fall travel?
Get some practice using big and small numbers in chemistry.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
How does the half-life of a drug affect the build up of medication in the body over time?
How fast would you have to throw a ball upwards so that it would never land?
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?
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
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.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
When you change the units, do the numbers get bigger or smaller?
Which units would you choose best to fit these situations?
What is an AC voltage? How much power does an AC power source supply?
Show that even a very powerful spaceship would eventually run out of overtaking power
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?
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.
A look at different crystal lattice structures, and how they relate to structural properties
Find out how to model a battery mathematically
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Derive an equation which describes satellite dynamics.
Some explanations of basic terms and some phenomena discovered by ancient astronomers
Work out the numerical values for these physical quantities.
When a mixture of gases burn, will the volume change?
An introduction to a useful tool to check the validity of an equation.
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
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
Work in groups to try to create the best approximations to these physical quantities.
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
A simplified account of special relativity and the twins paradox.
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.