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. . . .
Look at the calculus behind the simple act of a car going over a step.
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?
Find out some of the mathematics behind neural networks.
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.
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?
Advanced problems in the mathematical sciences.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Find out how to model a battery mathematically
Which units would you choose best to fit these situations?
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
Read all about electromagnetism in our interactive article.
How fast would you have to throw a ball upwards so that it would never land?
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?
Get some practice using big and small numbers in chemistry.
How does the half-life of a drug affect the build up of medication in the body over time?
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?
Ever wondered what it would be like to vaporise a diamond? Find out inside...
Explore the power of aeroplanes, spaceships and horses.
An introduction to a useful tool to check the validity of an equation.
Can you match up the entries from this table of units?
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
How high will a ball taking a million seconds to fall travel?
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Where will the spaceman go when he falls through these strange planetary systems?
Can you work out the natural time scale for the universe?
Things are roughened up and friction is now added to the approximate simple pendulum
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.
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
What is an AC voltage? How much power does an AC power source supply?
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
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.
Can you arrange a set of charged particles so that none of them start to move when released from rest?
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
A simplified account of special relativity and the twins paradox.
When a mixture of gases burn, will the volume change?
Show that even a very powerful spaceship would eventually run out of overtaking power
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
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. . . .
Some explanations of basic terms and some phenomena discovered by ancient astronomers
Derive an equation which describes satellite dynamics.