Show that even a very powerful spaceship would eventually run out
of overtaking power
Work in groups to try to create the best approximations to these
This is the technology section of stemNRICH - Core.
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Look at the calculus behind the simple act of a car going over a
A think about the physics of a motorbike riding upside down
Find out how to model a battery mathematically
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?
How high will a ball taking a million seconds to fall travel?
A look at the fluid mechanics questions that are raised by the
Find out some of the mathematics behind neural networks.
A look at a fluid mechanics technique called the Steady Flow
Where will the spaceman go when he falls through these strange planetary systems?
See how the motion of the simple pendulum is not-so-simple after
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
Explore the power of aeroplanes, spaceships and horses.
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?
Advanced problems in the mathematical sciences.
Can you arrange a set of charged particles so that none of them
start to move when released from rest?
Which line graph, equations and physical processes go together?
Explore how can changing the axes for a plot of an equation can
lead to different shaped graphs emerging
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
Can you work out the natural time scale for the universe?
How fast would you have to throw a ball upwards so that it would
A simplified account of special relativity and the twins paradox.
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.
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.
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.
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
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
Can you match up the entries from this table of units?
Work out the numerical values for these physical quantities.
Explore displacement/time and velocity/time graphs with this mouse
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. . . .
An introduction to a useful tool to check the validity of an equation.
Things are roughened up and friction is now added to the
approximate simple pendulum
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
A look at different crystal lattice structures, and how they relate
to structural properties
An article demonstrating mathematically how various physical
modelling assumptions affect the solution to the seemingly simple
problem of the projectile.
Some explanations of basic terms and some phenomena discovered by
When a mixture of gases burn, will the volume change?