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.
Find out how to model a battery mathematically
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?
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.
Advanced problems in the mathematical sciences.
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
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?
How high will a ball taking a million seconds to fall travel?
A simplified account of special relativity and the twins paradox.
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 ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
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?
Where will the spaceman go when he falls through these strange planetary systems?
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
Read all about electromagnetism in our interactive article.
Can you match up the entries from this table of units?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Which units would you choose best to fit these situations?
When you change the units, do the numbers get bigger or smaller?
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
What is an AC voltage? How much power does an AC power source supply?
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.
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.
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
This is the technology section of stemNRICH - Core.
Get some practice using big and small numbers in chemistry.
Some explanations of basic terms and some phenomena discovered by ancient astronomers
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
Explore the power of aeroplanes, spaceships and horses.
Ever wondered what it would be like to vaporise a diamond? Find out inside...
When a mixture of gases burn, will the volume change?
Can you arrange a set of charged particles so that none of them start to move when released from rest?
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
Work out the numerical values for these physical quantities.
Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging