Which line graph, equations and physical processes go together?
See how the motion of the simple pendulum is not-so-simple after
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.
Work out the numerical values for these physical quantities.
How fast would you have to throw a ball upwards so that it would
Get some practice using big and small numbers in chemistry.
Work in groups to try to create the best approximations to these
Look at the calculus behind the simple act of a car going over a
Explore the power of aeroplanes, spaceships and horses.
Explore how can changing the axes for a plot of an equation can
lead to different shaped graphs emerging
Explore the rates of growth of the sorts of simple polynomials
often used in mathematical modelling.
Read all about electromagnetism in our interactive article.
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.
Find out some of the mathematics behind neural networks.
A look at the fluid mechanics questions that are raised by the
Explore displacement/time and velocity/time graphs with this mouse
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.
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
This is the technology section of stemNRICH - Core.
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?
Have you got the Mach knack? Discover the mathematics behind
exceeding the sound barrier.
How high will a ball taking a million seconds to fall travel?
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.
Explore the Lorentz force law for charges moving in different ways.
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
A look at a fluid mechanics technique called the Steady Flow
Find out why water is one of the most amazing compounds in the
universe and why it is essential for life. - UNDER DEVELOPMENT
What is an AC voltage? How much power does an AC power source
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?
Can you work out the natural time scale for the universe?
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.
When a mixture of gases burn, will the volume change?
How does the half-life of a drug affect the build up of medication
in the body over time?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Which units would you choose best to fit these situations?
When you change the units, do the numbers get bigger or smaller?
Can you match up the entries from this table of units?
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?
Show that even a very powerful spaceship would eventually run out
of overtaking power
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
An introduction to a useful tool to check the validity of an equation.