An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
A think about the physics of a motorbike riding upside down
Where will the spaceman go when he falls through these strange planetary systems?
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?
How fast would you have to throw a ball upwards so that it would never land?
How high will a ball taking a million seconds to fall travel?
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Read all about electromagnetism in our interactive article.
Explore the Lorentz force law for charges moving in different ways.
chemNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of chemistry, designed to help develop the mathematics required to get the most from your study. . . .
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
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.
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?
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
An introduction to a useful tool to check the validity of an equation.
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
Can you work out the natural time scale for the universe?
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. . . .
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
See how the motion of the simple pendulum is not-so-simple after all.
Work in groups to try to create the best approximations to these physical quantities.
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
Look at the calculus behind the simple act of a car going over a step.
Ever wondered what it would be like to vaporise a diamond? Find out inside...
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
Which line graph, equations and physical processes go together?
How does the half-life of a drug affect the build up of medication in the body over time?
Explore the power of aeroplanes, spaceships and horses.
Things are roughened up and friction is now added to the approximate simple pendulum
Find out how to model a battery mathematically
Find out some of the mathematics behind neural networks.
Derive an equation which describes satellite dynamics.
Some explanations of basic terms and some phenomena discovered by ancient astronomers
A look at different crystal lattice structures, and how they relate to structural properties
Get some practice using big and small numbers in chemistry.
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
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?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
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?
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
What is an AC voltage? How much power does an AC power source supply?
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges