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Investigations. Maths Supporting SET. STEM - General. Physics. Biology. Logo. Programming. Calculating with ratio & proportion. Chemistry. Logarithmic functions.There are 77 results
Broad Topics > Applications > Physics
The Power of Dimensional Analysis
Age 14 to 18
An introduction to a useful tool to check the validity of an equation.
Diamonds Aren't Forever
Age 16 to 18 Challenge Level:
Ever wondered what it would be like to vaporise a diamond? Find out inside...
Ideal Axes
Age 16 to 18 Challenge Level:
Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
Constantly Changing
Age 14 to 16 Challenge Level:
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
The Amazing Properties of Water
Age 14 to 18 Challenge Level:
Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT
Lennard Jones Potential
Age 16 to 18 Challenge Level:
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
Striking Gold
Age 16 to 18 Challenge Level:
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.
Big and Small Numbers in Chemistry
Age 14 to 16 Challenge Level:
Get some practice using big and small numbers in chemistry.
Escape from Planet Earth
Age 16 to 18 Challenge Level:
How fast would you have to throw a ball upwards so that it would never land?
Universal Time, Mass, Length
Age 16 to 18 Short Challenge Level:
Can you work out the natural time scale for the universe?
Maths in the Undergraduate Physical Sciences
Age 16 to 18
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. . . .
Ideal Gases
Age 16 to 18 Challenge Level:
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
Core Scientific Mathematics
Age 14 to 18 Challenge Level:
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Cobalt Decay
Age 16 to 18 Challenge Level:
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
The Real Hydrogen Atom
Age 16 to 18 Challenge Level:
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
Big and Small Numbers in Physics
Age 14 to 16 Challenge Level:
Work out the numerical values for these physical quantities.
Approximately Certain
Age 14 to 18 Challenge Level:
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Levels of Bohr
Age 16 to 18 Challenge Level:
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
Powerfully Fast
Age 16 to 18 Challenge Level:
Explore the power of aeroplanes, spaceships and horses.
Drug Stabiliser
Age 16 to 18 Challenge Level:
How does the half-life of a drug affect the build up of medication in the body over time?
The Lorentz Force Law
Age 16 to 18 Challenge Level:
Explore the Lorentz force law for charges moving in different ways.
Whose Line Graph Is it Anyway?
Age 16 to 18 Challenge Level:
Which line graph, equations and physical processes go together?
Whoosh
Age 16 to 18 Challenge Level:
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
Resistance
Age 16 to 18 Challenge Level:
Find the equation from which to calculate the resistance of an infinite network of resistances.
Earth Orbit
Age 16 to 18 Challenge Level:
Follow in the steps of Newton and find the path that the earth follows around the sun.
Cannon Balls
Age 16 to 18 Short Challenge Level:
How high will a ball taking a million seconds to fall travel?
Moving Stonehenge
Age 16 to 18 Challenge Level:
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
The Not-so-simple Pendulum 1
Age 16 to 18 Challenge Level:
See how the motion of the simple pendulum is not-so-simple after all.
Gravity Paths
Age 16 to 18 Challenge Level:
Where will the spaceman go when he falls through these strange planetary systems?
Mach Attack
Age 16 to 18 Challenge Level:
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
Pumping the Power
Age 16 to 18 Challenge Level:
What is an AC voltage? How much power does an AC power source supply?
Keep Your Momentum Going
Age 16 to 18 Challenge Level:
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
Lunar Leaper
Age 16 to 18 Challenge Level:
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?
Big and Small Numbers in Physics - Group Task
Age 16 to 18 Challenge Level:
Work in groups to try to create the best approximations to these physical quantities.
Stemnrich - Technology
Age 11 to 16 Challenge Level:
This is the technology section of stemNRICH - Core.
Sweeping Satellite
Age 16 to 18 Challenge Level:
Derive an equation which describes satellite dynamics.
Choose Your Units
Age 14 to 16 Challenge Level:
Which units would you choose best to fit these situations?
New Units for Old
Age 16 to 18 Challenge Level:
Can you match up the entries from this table of units?
A Question of Scale
Age 14 to 16 Challenge Level:
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?
Go Spaceship Go
Age 16 to 18 Challenge Level:
Show that even a very powerful spaceship would eventually run out of overtaking power
Reaction Types
Age 16 to 18 Challenge Level:
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
The Not-so-simple Pendulum 2
Age 16 to 18 Challenge Level:
Things are roughened up and friction is now added to the approximate simple pendulum
The Ultra Particle
Age 16 to 18 Challenge Level:
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Hold Still Please
Age 16 to 18 Challenge Level:
Can you arrange a set of charged particles so that none of them start to move when released from rest?
Modelling Assumptions in Mechanics
Age 16 to 18
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
Ancient Astronomical Terms
Age 11 to 18
Some explanations of basic terms and some phenomena discovered by ancient astronomers
Pack Man
Age 16 to 18 Challenge Level:
A look at different crystal lattice structures, and how they relate to structural properties
NRICH is part of the family of activities in the Millennium Mathematics Project.