This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
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 calculus behind the simple act of a car going over a step.
An introduction to a useful tool to check the validity of an equation.
When a mixture of gases burn, will the volume change?
Ever wondered what it would be like to vaporise a diamond? Find out inside...
How does the half-life of a drug affect the build up of medication in the body over time?
Which line graph, equations and physical processes go together?
Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT
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.
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. . . .
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
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
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
See how the motion of the simple pendulum is not-so-simple after all.
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 the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
Read all about electromagnetism in our interactive article.
Explore the Lorentz force law for charges moving in different ways.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
How fast would you have to throw a ball upwards so that it would never land?
Can you work out the natural time scale for the universe?
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
Get some practice using big and small numbers in chemistry.
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
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
Work out the numerical values for these physical quantities.
Explore the power of aeroplanes, spaceships and horses.
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Show that even a very powerful spaceship would eventually run out of overtaking power
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
Things are roughened up and friction is now added to the approximate simple pendulum
Where will the spaceman go when he falls through these strange planetary systems?
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
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?
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.
How high will a ball taking a million seconds to fall travel?
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 ancient astronomers
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Derive an equation which describes satellite dynamics.