How does the half-life of a drug affect the build up of medication in the body over time?
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Look at the calculus behind the simple act of a car going over a step.
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
Find out some of the mathematics behind neural networks.
Which line graph, equations and physical processes go together?
See how the motion of the simple pendulum is not-so-simple after all.
An introduction to a useful tool to check the validity of an equation.
Ever wondered what it would be like to vaporise a diamond? Find out inside...
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
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. . . .
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
Find out how to model a battery mathematically
Read all about electromagnetism in our interactive article.
A look at different crystal lattice structures, and how they relate to structural properties
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
Show that even a very powerful spaceship would eventually run out of overtaking power
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
Explore the power of aeroplanes, spaceships and horses.
Things are roughened up and friction is now added to the approximate simple pendulum
Can you match up the entries from this table of units?
What is an AC voltage? How much power does an AC power source supply?
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
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.
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
Follow in the steps of Newton and find the path that the earth follows around the sun.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
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.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
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.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
How high will a ball taking a million seconds to fall travel?
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 never land?
When a mixture of gases burn, will the volume change?
Some explanations of basic terms and some phenomena discovered by ancient astronomers
Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT
Derive an equation which describes satellite dynamics.
Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
A think about the physics of a motorbike riding upside down
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
When you change the units, do the numbers get bigger or smaller?