How high will a ball taking a million seconds to fall travel?
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?
When a mixture of gases burn, will the volume change?
Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
How fast would you have to throw a ball upwards so that it would never land?
Can you work out the natural time scale for the universe?
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
Where will the spaceman go when he falls through these strange planetary systems?
Find out how to model a battery mathematically
A think about the physics of a motorbike riding upside down
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 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
This is the technology section of stemNRICH - Core.
Ever wondered what it would be like to vaporise a diamond? Find out inside...
Explore the Lorentz force law for charges moving in different ways.
Read all about electromagnetism in our interactive article.
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Things are roughened up and friction is now added to the approximate simple pendulum
Explore the power of aeroplanes, spaceships and horses.
What is an AC voltage? How much power does an AC power source supply?
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
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
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Follow in the steps of Newton and find the path that the earth follows around the sun.
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
See how the motion of the simple pendulum is not-so-simple after all.
An introduction to a useful tool to check the validity of an equation.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
Find out some of the mathematics behind neural networks.
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
Get some practice using big and small numbers in chemistry.
Look at the calculus behind the simple act of a car going over a step.
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 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.
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. . . .
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Which line graph, equations and physical processes go together?
Can you arrange a set of charged particles so that none of them start to move when released from rest?
Work out the numerical values for these physical quantities.
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
Work in groups to try to create the best approximations to these physical quantities.