Things are roughened up and friction is now added to the approximate simple pendulum
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
This is the technology section of stemNRICH - Core.
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 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.
Find out how to model a battery mathematically
A think about the physics of a motorbike riding upside down
Where will the spaceman go when he falls through these strange planetary systems?
A look at different crystal lattice structures, and how they relate to structural properties
Derive an equation which describes satellite dynamics.
Some explanations of basic terms and some phenomena discovered by ancient astronomers
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
What is an AC voltage? How much power does an AC power source supply?
Read all about electromagnetism in our interactive article.
Can you match up the entries from this table of units?
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
Show that even a very powerful spaceship would eventually run out of overtaking power
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
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
Explore the power of aeroplanes, spaceships and horses.
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
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.
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.
How fast would you have to throw a ball upwards so that it would never land?
Follow in the steps of Newton and find the path that the earth follows around the sun.
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
Work in groups to try to create the best approximations to these physical quantities.
Find out some of the mathematics behind neural networks.
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. . . .
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.
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
Look at the calculus behind the simple act of a car going over a step.
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
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Which units would you choose best to fit these situations?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Which line graph, equations and physical processes go together?
A simplified account of special relativity and the twins paradox.