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Investigations. Energy. Team-building. biology. Estimating and approximating. physics. Mathematical modelling. engineering. Real world. chemistry.

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Broad Topics > Applications > physics

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Big and Small Numbers in Physics - Group Task

Stage: 5 Challenge Level: Challenge Level:1

Work in groups to try to create the best approximations to these physical quantities.

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The Not-so-simple Pendulum 1

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Reaction Types

Stage: 5 Challenge Level: Challenge Level:1

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

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Advanced STEM

Stage: 4 and 5 Challenge Level: Challenge Level:1

Advanced problems in the mathematical sciences.

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Core Scientific Mathematics

Stage: 4 and 5 Challenge Level: Challenge Level:1

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

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Drug Stabiliser

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Moving Stonehenge

Stage: 5 Challenge Level: Challenge Level:1

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

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Neural Nets

Stage: 5

Find out some of the mathematics behind neural networks.

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Ramping it Up

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Look at the calculus behind the simple act of a car going over a step.

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Engnrich

Stage: 5 Challenge Level: Challenge Level:1

engNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of engineering

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Whoosh

Stage: 5 Challenge Level: Challenge Level:1

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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Escape from Planet Earth

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Which Twin Is Older?

Stage: 5

A simplified account of special relativity and the twins paradox.

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The Real Hydrogen Atom

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Big and Small Numbers in Chemistry

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Get some practice using big and small numbers in chemistry.

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Universal Time, Mass, Length

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Stemnrich - Technology

Stage: 3 and 4 Challenge Level: Challenge Level:1

This is the technology section of stemNRICH - Core.

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The Amazing Properties of Water

Stage: 4 and 5 Challenge Level: Challenge Level:1

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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Lunar Leaper

Stage: 5 Challenge Level: Challenge Level:1

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?

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Gravity Paths

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Pumping the Power

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Mach Attack

Stage: 5 Challenge Level: Challenge Level:1

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

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Electromagnetism

Stage: 5

Read all about electromagnetism in our interactive article.

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Constantly Changing

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Keep Your Momentum Going

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

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The Lorentz Force Law

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Ideal Gases

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Lennard Jones Potential

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Striking Gold

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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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Cobalt Decay

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Cannon Balls

Stage: 5 Short Challenge Level: Challenge Level:1

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

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Physnrich

Stage: 4 and 5 Challenge Level: Challenge Level:1

PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics

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Hold Still Please

Stage: 5 Challenge Level: Challenge Level:1

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

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Big and Small Numbers in Physics

Stage: 4 Challenge Level: Challenge Level:1

Work out the numerical values for these physical quantities.

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Ideal Axes

Stage: 5 Challenge Level: Challenge Level:1

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

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Eudiometry

Stage: 5 Challenge Level: Challenge Level:1

When a mixture of gases burn, will the volume change?

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The Ultra Particle

Stage: 5 Challenge Level: Challenge Level:1

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

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The Not-so-simple Pendulum 2

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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New Units for Old

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you match up the entries from this table of units?

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Go Spaceship Go

Stage: 5 Challenge Level: Challenge Level:1

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

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Whose Line Graph Is it Anyway?

Stage: 5 Challenge Level: Challenge Level:1

Which line graph, equations and physical processes go together?

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Powerfully Fast

Stage: 5 Challenge Level: Challenge Level:1

Explore the power of aeroplanes, spaceships and horses.

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The Power of Dimensional Analysis

Stage: 4 and 5

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

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Diamonds Aren't Forever

Stage: 5 Challenge Level: Challenge Level:1

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

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Pack Man

Stage: 5 Challenge Level: Challenge Level:1

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

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Battery Modelling

Stage: 5 Challenge Level: Challenge Level:1

Find out how to model a battery mathematically

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Maths in the Undergraduate Physical Sciences

Stage: 5

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. . . .

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Sweeping Satellite

Stage: 5 Challenge Level: Challenge Level:1

Derive an equation which describes satellite dynamics.

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Motorbike Momentum

Stage: 5 Challenge Level: Challenge Level:1

A think about the physics of a motorbike riding upside down

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Ancient Astronomical Terms

Stage: 3, 4 and 5

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


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