An article demonstrating mathematically how various physical
modelling assumptions affect the solution to the seemingly simple
problem of the projectile.
Things are roughened up and friction is now added to the
approximate simple pendulum
Follow in the steps of Newton and find the path that the earth
follows around the sun.
Dip your toe into the world of quantum mechanics by looking at the
Schrodinger equation for hydrogen atoms
See how the motion of the simple pendulum is not-so-simple after
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
How high will a ball taking a million seconds to fall travel?
How fast would you have to throw a ball upwards so that it would
Explore displacement/time and velocity/time graphs with this mouse
A think about the physics of a motorbike riding upside down
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?
A simplified account of special relativity and the twins paradox.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Read all about electromagnetism in our interactive article.
A look at the fluid mechanics questions that are raised by the
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?
This is the technology section of stemNRICH - Core.
Find out some of the mathematics behind neural networks.
Find out why water is one of the most amazing compounds in the
universe and why it is essential for life. - UNDER DEVELOPMENT
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Get some practice using big and small numbers in chemistry.
Find the equation from which to calculate the resistance of an
infinite network of resistances.
Have you got the Mach knack? Discover the mathematics behind
exceeding the sound barrier.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
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
Investigate the effects of the half-lifes of the isotopes of cobalt
on the mass of a mystery lump of the element.
Problems which make you think about the kinetic ideas underlying
the ideal gas laws.
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
What is an AC voltage? How much power does an AC power source
Can you work out the natural time scale for the universe?
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.
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
Can you arrange a set of charged particles so that none of them
start to move when released from rest?
Explore the power of aeroplanes, spaceships and horses.
Work out the numerical values for these physical quantities.
Explore how can changing the axes for a plot of an equation can
lead to different shaped graphs emerging
Ever wondered what it would be like to vaporise a diamond? Find out
Explore the rates of growth of the sorts of simple polynomials
often used in mathematical modelling.
How does the half-life of a drug affect the build up of medication
in the body over time?
Can you match up the entries from this table of units?
Show that even a very powerful spaceship would eventually run out
of overtaking power
Advanced problems in the mathematical sciences.
Which line graph, equations and physical processes go together?
An introduction to a useful tool to check the validity of an equation.
When a mixture of gases burn, will the volume change?
Look at the calculus behind the simple act of a car going over a
Some explanations of basic terms and some phenomena discovered by