What is an AC voltage? How much power does an AC power source supply?
Look at the calculus behind the simple act of a car going over a step.
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 fast would you have to throw a ball upwards so that it would never land?
How high will a ball taking a million seconds to fall travel?
See how the motion of the simple pendulum is not-so-simple after all.
Can you work out the natural time scale for the universe?
This is the technology section of stemNRICH - Core.
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
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. . . .
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT
Get some practice using big and small numbers in chemistry.
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
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
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.
Find out some of the mathematics behind neural networks.
An introduction to a useful tool to check the validity of an equation.
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
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.
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 a fluid mechanics technique called the Steady Flow Momentum Equation.
Where will the spaceman go when he falls through these strange planetary systems?
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
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?
Some explanations of basic terms and some phenomena discovered by ancient astronomers
Find out how to model a battery mathematically
When a mixture of gases burn, will the volume change?
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
Things are roughened up and friction is now added to the approximate simple pendulum
Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Derive an equation which describes satellite dynamics.
A look at different crystal lattice structures, and how they relate to structural properties
Can you match up the entries from this table of units?
Show that even a very powerful spaceship would eventually run out of overtaking power
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
A think about the physics of a motorbike riding upside down
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
When you change the units, do the numbers get bigger or smaller?
Which units would you choose best to fit these situations?
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
Which line graph, equations and physical processes go together?
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?
Ever wondered what it would be like to vaporise a diamond? Find out inside...