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Broad Topics > Applications > physics

Core Scientific Mathematics

Stage: 4 and 5 Challenge Level:

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

Whose Line Graph Is it Anyway?

Stage: 5 Challenge Level:

Which line graph, equations and physical processes go together?

Neural Nets

Stage: 5

Find out some of the mathematics behind neural networks.

Ramping it Up

Stage: 5 Challenge Level:

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

Guessing the Graph

Stage: 4 Challenge Level:

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

Escape from Planet Earth

Stage: 5 Challenge Level:

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

Big and Small Numbers in Chemistry

Stage: 4 Challenge Level:

Get some practice using big and small numbers in chemistry.

Big and Small Numbers in Physics - Group Task

Stage: 5 Challenge Level:

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

Chemnrich

Stage: 4 and 5 Challenge Level:

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. . . .

Physnrich

Stage: 4 and 5 Challenge Level:

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

Universal Time, Mass, Length

Stage: 5 Short Challenge Level:

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

Ideal Gases

Stage: 5 Challenge Level:

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

Constantly Changing

Stage: 4 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.

Moving Stonehenge

Stage: 5 Challenge Level:

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

The Lorentz Force Law

Stage: 5 Challenge Level:

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

Levels of Bohr

Stage: 5 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.

The Not-so-simple Pendulum 1

Stage: 5 Challenge Level:

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

Engnrich

Stage: 5 Challenge Level:

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

Drug Stabiliser

Stage: 5 Challenge Level:

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

Diamonds Aren't Forever

Stage: 5 Challenge Level:

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

Powerfully Fast

Stage: 5 Challenge Level:

Explore the power of aeroplanes, spaceships and horses.

A Question of Scale

Stage: 4 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?

Approximately Certain

Stage: 4 and 5 Challenge Level:

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

Bigger or Smaller?

Stage: 4 Challenge Level:

When you change the units, do the numbers get bigger or smaller?

Stage: 4 Challenge Level:

Which units would you choose best to fit these situations?

The Power of Dimensional Analysis

Stage: 4 and 5

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

Reaction Types

Stage: 5 Challenge Level:

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

Lennard Jones Potential

Stage: 5 Challenge Level:

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

Cannon Balls

Stage: 5 Short Challenge Level:

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

The Not-so-simple Pendulum 2

Stage: 5 Challenge Level:

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

Striking Gold

Stage: 5 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.

Gravity Paths

Stage: 5 Challenge Level:

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

Stage: 5 Challenge Level:

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

Go Spaceship Go

Stage: 5 Challenge Level:

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

New Units for Old

Stage: 5 Challenge Level:

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

Mach Attack

Stage: 5 Challenge Level:

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

Pumping the Power

Stage: 5 Challenge Level:

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

The Ultra Particle

Stage: 5 Challenge Level:

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

Cobalt Decay

Stage: 5 Challenge Level:

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

Whoosh

Stage: 5 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?

Modelling Assumptions in Mechanics

Stage: 5

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

Motorbike Momentum

Stage: 5 Challenge Level:

A think about the physics of a motorbike riding upside down

The Amazing Properties of Water

Stage: 4 and 5 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

The Real Hydrogen Atom

Stage: 5 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

Stage: 4 Challenge Level:

Work out the numerical values for these physical quantities.

Eudiometry

Stage: 5 Challenge Level:

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

Ideal Axes

Stage: 5 Challenge Level:

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

Battery Modelling

Stage: 5 Challenge Level:

Find out how to model a battery mathematically