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. . . .
Explore how can changing the axes for a plot of an equation can
lead to different shaped graphs emerging
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.
When a mixture of gases burn, will the volume change?
Dip your toe into the world of quantum mechanics by looking at the
Schrodinger equation for hydrogen atoms
Ever wondered what it would be like to vaporise a diamond? Find out
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
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 why water is one of the most amazing compounds in the
universe and why it is essential for life. - UNDER DEVELOPMENT
Advanced problems in the mathematical sciences.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Look at the calculus behind the simple act of a car going over a
How high will a ball taking a million seconds to fall travel?
Work in groups to try to create the best approximations to these
Investigate the effects of the half-lifes of the isotopes of cobalt
on the mass of a mystery lump of the element.
See how the motion of the simple pendulum is not-so-simple after
Can you work out the natural time scale for the universe?
A simplified account of special relativity and the twins paradox.
Find out how to model a battery mathematically
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?
This is the technology section of stemNRICH - Core.
Get some practice using big and small numbers in chemistry.
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 ball whooshes down a slide and hits another ball which flies off
the slide horizontally as a projectile. How far does it go?
Derive an equation which describes satellite dynamics.
Have you got the Mach knack? Discover the mathematics behind
exceeding the sound barrier.
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.
A look at the fluid mechanics questions that are raised by the
Show that even a very powerful spaceship would eventually run out
of overtaking power
Find out some of the mathematics behind neural networks.
Can you match up the entries from this table of units?
Read all about electromagnetism in our interactive article.
Explore the power of aeroplanes, spaceships and horses.
Things are roughened up and friction is now added to the
approximate simple pendulum
How fast would you have to throw a ball upwards so that it would
A look at different crystal lattice structures, and how they relate
to structural properties
Explore the Lorentz force law for charges moving in different ways.
Some explanations of basic terms and some phenomena discovered by
A look at a fluid mechanics technique called the Steady Flow
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Can you arrange a set of charged particles so that none of them
start to move when released from rest?
What is an AC voltage? How much power does an AC power source
A think about the physics of a motorbike riding upside down
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Follow in the steps of Newton and find the path that the earth
follows around the sun.
Work out the numerical values for these physical quantities.
An article demonstrating mathematically how various physical
modelling assumptions affect the solution to the seemingly simple
problem of the projectile.