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Find out about Emmy Noether, whose ideas linked physics and algebra, and whom Einstein described as a 'creative mathematical genius'.
Make your own pinhole camera for safe observation of the sun, and find out how it works.
This is the technology section of stemNRICH - Core.
Some explanations of basic terms and some phenomena discovered by ancient astronomers
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?
Work out the numerical values for these physical quantities.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Get some practice using big and small numbers in chemistry.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Explore the relationship between resistance and temperature
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
This collection of resources is designed for developing STEM at Post-16.
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 of chemistry at A-level and university.
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
An introduction to a useful tool to check the validity of an equation.
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?
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 energy of this incredibly energetic particle which struck Earth on October 15th 1991
Derive an equation which describes satellite dynamics.
A think about the physics of a motorbike riding upside down
How high will a ball taking a million seconds to fall travel?
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?
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
Look at the calculus behind the simple act of a car going over a step.
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
Which line graph, equations and physical processes go together?
Can you arrange a set of charged particles so that none of them start to move when released from rest?
What is an AC voltage? How much power does an AC power source supply?
A look at different crystal lattice structures, and how they relate to structural properties
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 match up the entries from this table of units?
How does the half-life of a drug affect the build up of medication in the body over time?
Explore the Lorentz force law for charges moving in different ways.
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
Find the equation from which to calculate the resistance of an infinite network of resistances.
See how the motion of the simple pendulum is not-so-simple after all.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
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.
Work in groups to try to create the best approximations to these physical quantities.
Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
Ever wondered what it would be like to vaporise a diamond? Find out inside...
Follow in the steps of Newton and find the path that the earth follows around the sun.
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 topics (e.g. complex numbers) and their applications.
How fast would you have to throw a ball upwards so that it would never land?
Show that even a very powerful spaceship would eventually run out of overtaking power
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
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 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'.