See how the motion of the simple pendulum is not-so-simple after all.
Advanced problems in the mathematical sciences.
Which line graph, equations and physical processes go together?
Work in groups to try to create the best approximations to these physical quantities.
Look at the calculus behind the simple act of a car going over a step.
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.
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
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. . . .
A look at different crystal lattice structures, and how they relate to structural properties
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
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.
Read all about electromagnetism in our interactive article.
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
Derive an equation which describes satellite dynamics.
Get some practice using big and small numbers in chemistry.
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
Things are roughened up and friction is now added to the approximate simple pendulum
Explore the power of aeroplanes, spaceships and horses.
Work out the numerical values for these physical quantities.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Which units would you choose best to fit these situations?
When you change the units, do the numbers get bigger or smaller?
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?
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
Can you work out the natural time scale for the universe?
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.
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.
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
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?
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.
Explore the Lorentz force law for charges moving in different ways.
Follow in the steps of Newton and find the path that the earth follows around the sun.
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 ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
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 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. . . .
A think about the physics of a motorbike riding upside down