Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
Ever wondered what it would be like to vaporise a diamond? Find out inside...
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 area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
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 does the half-life of a drug affect the build up of medication in the body over time?
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
When a mixture of gases burn, will the volume change?
Find out some of the mathematics behind neural networks.
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. . . .
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
A simplified account of special relativity and the twins paradox.
This is the technology section of stemNRICH - Core.
Look at the calculus behind the simple act of a car going over a step.
How fast would you have to throw a ball upwards so that it would never land?
See how the motion of the simple pendulum is not-so-simple after all.
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.
An introduction to a useful tool to check the validity of an equation.
Read all about electromagnetism in our interactive article.
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. . . .
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
Things are roughened up and friction is now added to the approximate simple pendulum
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
Which line graph, equations and physical processes go together?
Explore the power of aeroplanes, spaceships and horses.
A look at different crystal lattice structures, and how they relate to structural properties
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
Can you match up the entries from this table of units?
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?
Show that even a very powerful spaceship would eventually run out of overtaking power
How high will a ball taking a million seconds to fall travel?
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.
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.
Where will the spaceman go when he falls through these strange planetary systems?
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
Find out how to model a battery mathematically
Can you work out the natural time scale for the universe?
A think about the physics of a motorbike riding upside down
Derive an equation which describes satellite dynamics.
Some explanations of basic terms and some phenomena discovered by ancient astronomers
When you change the units, do the numbers get bigger or smaller?
Work out the numerical values for these physical quantities.