Which line graph, equations and physical processes go together?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Look at the calculus behind the simple act of a car going over a
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Advanced problems in the mathematical sciences.
How does the half-life of a drug affect the build up of medication
in the body over time?
A look at the fluid mechanics questions that are raised by the
Find out some of the mathematics behind neural networks.
engNRICH is the area of the stemNRICH site devoted to the
mathematics underlying the study of engineering
Work in groups to try to create the best approximations to these
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. . . .
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
How fast would you have to throw a ball upwards so that it would
An introduction to a useful tool to check the validity of an equation.
Read all about electromagnetism in our interactive article.
Investigate why the Lennard-Jones potential gives a good
approximate explanation for the behaviour of atoms at close ranges
See how the motion of the simple pendulum is not-so-simple after
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.
Find out why water is one of the most amazing compounds in the
universe and why it is essential for life. - UNDER DEVELOPMENT
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
When a mixture of gases burn, will the volume change?
Explore how can changing the axes for a plot of an equation can
lead to different shaped graphs emerging
Explore the power of aeroplanes, spaceships and horses.
Explore the rates of growth of the sorts of simple polynomials
often used in mathematical modelling.
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?
When you change the units, do the numbers get bigger or smaller?
Which units would you choose best to fit these situations?
Ever wondered what it would be like to vaporise a diamond? Find out
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Problems which make you think about the kinetic ideas underlying
the ideal gas laws.
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
How high will a ball taking a million seconds to fall travel?
What is an AC voltage? How much power does an AC power source
Show that even a very powerful spaceship would eventually run out
of overtaking power
Can you match up the entries from this table of units?
Have you got the Mach knack? Discover the mathematics behind
exceeding the sound barrier.
Some explanations of basic terms and some phenomena discovered by
A look at a fluid mechanics technique called the Steady Flow
Explore the Lorentz force law for charges moving in different ways.
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. . . .
Work out the numerical values for these physical quantities.
An article demonstrating mathematically how various physical
modelling assumptions affect the solution to the seemingly simple
problem of the projectile.
Find out how to model a battery mathematically
A think about the physics of a motorbike riding upside down
Derive an equation which describes satellite dynamics.
A look at different crystal lattice structures, and how they relate
to structural properties