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?
Look at the calculus behind the simple act of a car going over a step.
Can you work out the natural time scale for the universe?
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
How high will a ball taking a million seconds to fall travel?
Work in groups to try to create the best approximations to these physical quantities.
See how the motion of the simple pendulum is not-so-simple after all.
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
Find out some of the mathematics behind neural networks.
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
Explore the Lorentz force law for charges moving in different ways.
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
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?
Which line graph, equations and physical processes go together?
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
How fast would you have to throw a ball upwards so that it would never land?
Show that even a very powerful spaceship would eventually run out of overtaking power
Find the equation from which to calculate the resistance of an infinite network of resistances.
Explore displacement/time and velocity/time graphs with this mouse motion sensor.
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
A simplified account of special relativity and the twins paradox.
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
Where will the spaceman go when he falls through these strange planetary systems?
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
Read all about electromagnetism in our interactive article.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
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.
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.
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?
Get some practice using big and small numbers in chemistry.
This is the technology section of stemNRICH - Core.
Derive an equation which describes satellite dynamics.
A look at different crystal lattice structures, and how they relate to structural properties
Find out how to model a battery mathematically
Some explanations of basic terms and some phenomena discovered by ancient astronomers
An introduction to a useful tool to check the validity of an equation.
Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
When a mixture of gases burn, will the volume change?
Ever wondered what it would be like to vaporise a diamond? Find out inside...
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
Explore the power of aeroplanes, spaceships and horses.
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?