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Which line graph, equations and physical processes go together?
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Look at the calculus behind the simple act of a car going over a step.
Advanced problems in the mathematical sciences.
How does the half-life of a drug affect the build up of medication in the body over time?
Find out some of the mathematics behind neural networks.
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
engNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of engineering
Work in groups to try to create the best approximations to these physical quantities.
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. . . .
Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT
See how the motion of the simple pendulum is not-so-simple after all.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Read all about electromagnetism in our interactive article.
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
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
How fast would you have to throw a ball upwards so that it would never land?
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
When a mixture of gases burn, will the volume change?
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
Explore the power of aeroplanes, spaceships and horses.
Ever wondered what it would be like to vaporise a diamond? Find out inside...
Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
When you change the units, do the numbers get bigger or smaller?
An introduction to a useful tool to check the validity of an equation.
Which units would you choose best to fit these situations?
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?
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.
How high will a ball taking a million seconds to fall travel?
Can you work out the natural time scale for the universe?
Things are roughened up and friction is now added to the approximate simple pendulum
Explore the Lorentz force law for charges moving in different ways.
Can you match up the entries from this table of units?
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
What is an AC voltage? How much power does an AC power source supply?
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
Show that even a very powerful spaceship would eventually run out of overtaking power
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
Can you arrange a set of charged particles so that none of them start to move when released from rest?
A think about the physics of a motorbike riding upside down
Find out how to model a battery mathematically
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. . . .
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
Get some practice using big and small numbers in chemistry.