Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
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
Ever wondered what it would be like to vaporise a diamond? Find out inside...
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
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Advanced problems in the mathematical sciences.
Get some practice using big and small numbers in chemistry.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
An introduction to a useful tool to check the validity of an equation.
Find out some of the mathematics behind neural networks.
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
Look at the calculus behind the simple act of a car going over a step.
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
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. . . .
Explore displacement/time and velocity/time graphs with this mouse motion sensor.
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Work out the numerical values for these physical quantities.
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?
Can you work out the natural time scale for the universe?
How high will a ball taking a million seconds to fall travel?
See how the motion of the simple pendulum is not-so-simple after all.
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
When you change the units, do the numbers get bigger or smaller?
How fast would you have to throw a ball upwards so that it would never land?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Find the equation from which to calculate the resistance of an infinite network of resistances.
Where will the spaceman go when he falls through these strange planetary systems?
Show that even a very powerful spaceship would eventually run out of overtaking power
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
Read all about electromagnetism in our interactive article.
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.
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
Can you match up the entries from this table of units?
Explore the Lorentz force law for charges moving in different ways.
Which units would you choose best to fit these situations?
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?
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
A think about the physics of a motorbike riding upside down
Find out how to model a battery mathematically
Things are roughened up and friction is now added to the approximate simple pendulum
A look at different crystal lattice structures, and how they relate to structural properties
Derive an equation which describes satellite dynamics.
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
Can you arrange a set of charged particles so that none of them start to move when released from rest?