See how the motion of the simple pendulum is not-so-simple after
Which line graph, equations and physical processes go together?
Look at the calculus behind the simple act of a car going over a
Work in groups to try to create the best approximations to these
Get some practice using big and small numbers in chemistry.
Read all about electromagnetism in our interactive article.
Find out some of the mathematics behind neural networks.
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
An introduction to a useful tool to check the validity of an equation.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
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
Work out the numerical values for these physical quantities.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
A look at the fluid mechanics questions that are raised by the
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
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.
Explore the power of aeroplanes, spaceships and horses.
Things are roughened up and friction is now added to the
approximate simple pendulum
Advanced problems in the mathematical sciences.
An article demonstrating mathematically how various physical
modelling assumptions affect the solution to the seemingly simple
problem of the projectile.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
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?
How high will a ball taking a million seconds to fall travel?
Problems which make you think about the kinetic ideas underlying
the ideal gas laws.
Show that even a very powerful spaceship would eventually run out
of overtaking power
Investigate the effects of the half-lifes of the isotopes of cobalt
on the mass of a mystery lump of the element.
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?
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
Follow in the steps of Newton and find the path that the earth
follows around the sun.
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
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.
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?
Can you arrange a set of charged particles so that none of them
start to move when released from rest?
A think about the physics of a motorbike riding upside down
Find out how to model a battery mathematically
A look at different crystal lattice structures, and how they relate
to structural properties
Derive an equation which describes satellite dynamics.
When a mixture of gases burn, will the volume change?