Challenge Level

A think about the physics of a motorbike riding upside down

Challenge Level

Where will the spaceman go when he falls through these strange planetary systems?

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?

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How high will a ball taking a million seconds to fall travel?

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Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991

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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?

Challenge Level

How fast would you have to throw a ball upwards so that it would never land?

Some explanations of basic terms and some phenomena discovered by ancient astronomers

Challenge Level

Follow in the steps of Newton and find the path that the earth follows around the sun.

Challenge Level

Problems which make you think about the kinetic ideas underlying the ideal gas laws.

Challenge Level

Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges

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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.

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A look at different crystal lattice structures, and how they relate to structural properties

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Derive an equation which describes satellite dynamics.

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.

Challenge Level

Explore the Lorentz force law for charges moving in different ways.

An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.

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Can you arrange a set of charged particles so that none of them start to move when released from rest?

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A look at a fluid mechanics technique called the Steady Flow Momentum Equation.

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What is an AC voltage? How much power does an AC power source supply?

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Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT

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In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

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A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.

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Show that even a very powerful spaceship would eventually run out of overtaking power

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Can you work out the natural time scale for the universe?

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Find the equation from which to calculate the resistance of an infinite network of resistances.

Challenge Level

See how the motion of the simple pendulum is not-so-simple after all.

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Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.

Challenge Level

Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

An introduction to a useful tool to check the validity of an equation.

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Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

Challenge Level

Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms

Challenge Level

This is the technology section of stemNRICH - Core.

Challenge Level

Ever wondered what it would be like to vaporise a diamond? Find out inside...

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Which units would you choose best to fit these situations?

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Estimate these curious quantities sufficiently accurately that you can rank them in order of size

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Which line graph, equations and physical processes go together?

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How does the half-life of a drug affect the build up of medication in the body over time?

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Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

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Things are roughened up and friction is now added to the approximate simple pendulum

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Work out the numerical values for these physical quantities.

Challenge Level

Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging

Challenge Level

This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.