A simplified account of special relativity and the twins paradox.
Find out some of the mathematics behind neural networks.
A look at different crystal lattice structures, and how they relate to structural properties
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Read all about electromagnetism in our interactive article.
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
An introduction to a useful tool to check the validity of an equation.
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
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?
How fast would you have to throw a ball upwards so that it would never land?
Get some practice using big and small numbers in chemistry.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
When you change the units, do the numbers get bigger or smaller?
Look at the calculus behind the simple act of a car going over a step.
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
Explore the power of aeroplanes, spaceships and horses.
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?
Things are roughened up and friction is now added to the approximate simple pendulum
Which line graph, equations and physical processes go together?
Can you arrange a set of charged particles so that none of them start to move when released from rest?
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
Work out the numerical values for these physical quantities.
Which units would you choose best to fit these situations?
Show that even a very powerful spaceship would eventually run out of overtaking power
What is an AC voltage? How much power does an AC power source supply?
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
Follow in the steps of Newton and find the path that the earth follows around the sun.
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
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.
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?
Can you match up the entries from this table of units?
Explore the Lorentz force law for charges moving in different ways.
Work in groups to try to create the best approximations to these physical quantities.
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
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.
Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
Use trigonometry to determine whether solar eclipses on earth can be perfect.
A think about the physics of a motorbike riding upside down
Find out how to model a battery mathematically
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics