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. . . .
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. . . .
A ball whooshes down a slide and hits another ball which flies off
the slide horizontally as a projectile. How far does it go?
A simplified account of special relativity and the twins paradox.
Explore displacement/time and velocity/time graphs with this mouse
How fast would you have to throw a ball upwards so that it would
Can you work out the natural time scale for the universe?
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?
Find the equation from which to calculate the resistance of an
infinite network of resistances.
Get some practice using big and small numbers in chemistry.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Dip your toe into the world of quantum mechanics by looking at the
Schrodinger equation for hydrogen atoms
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Find out why water is one of the most amazing compounds in the
universe and why it is essential for life. - UNDER DEVELOPMENT
How high will a ball taking a million seconds to fall travel?
This is the technology section of stemNRICH - Core.
See how the motion of the simple pendulum is not-so-simple after
A look at the fluid mechanics questions that are raised by the
Have you got the Mach knack? Discover the mathematics behind
exceeding the sound barrier.
Read all about electromagnetism in our interactive article.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Find out some of the mathematics behind neural networks.
What is an AC voltage? How much power does an AC power source
A look at a fluid mechanics technique called the Steady Flow
Where will the spaceman go when he falls through these strange planetary systems?
Problems which make you think about the kinetic ideas underlying
the ideal gas laws.
Investigate why the Lennard-Jones potential gives a good
approximate explanation for the behaviour of atoms at close ranges
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.
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.
Work in groups to try to create the best approximations to these
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
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
Can you arrange a set of charged particles so that none of them
start to move when released from rest?
An article demonstrating mathematically how various physical
modelling assumptions affect the solution to the seemingly simple
problem of the projectile.
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Explore the power of aeroplanes, spaceships and horses.
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?
Advanced problems in the mathematical sciences.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
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 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
When a mixture of gases burn, will the volume change?
When you change the units, do the numbers get bigger or smaller?
Which units would you choose best to fit these situations?
A think about the physics of a motorbike riding upside down