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Broad Topics > Applications > physics

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. . . .

Ramping it Up

Stage: 5 Challenge Level:

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

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.

Physnrich

Stage: 4 and 5 Challenge Level:

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

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?

Neural Nets

Stage: 5

Find out some of the mathematics behind neural networks.

Moving Stonehenge

Stage: 5 Challenge Level:

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

The Not-so-simple Pendulum 1

Stage: 5 Challenge Level:

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

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?

Engnrich

Stage: 5 Challenge Level:

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

Stage: 4 and 5 Challenge Level:

Advanced problems in the mathematical sciences.

Whose Line Graph Is it Anyway?

Stage: 5 Challenge Level:

Which line graph, equations and physical processes go together?

Bigger or Smaller?

Stage: 4 Challenge Level:

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

A Question of Scale

Stage: 4 Short 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

Reaction Types

Stage: 5 Challenge Level:

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

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.

Big and Small Numbers in Chemistry

Stage: 4 Challenge Level:

Get some practice using big and small numbers in chemistry.

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.

Stage: 4 Challenge Level:

Which units would you choose best to fit these situations?

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.

Escape from Planet Earth

Stage: 5 Challenge Level:

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

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

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

Diamonds Aren't Forever

Stage: 5 Challenge Level:

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

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

The Power of Dimensional Analysis

Stage: 4 and 5

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

Powerfully Fast

Stage: 5 Challenge Level:

Explore the power of aeroplanes, spaceships and horses.

Ideal Gases

Stage: 5 Challenge Level:

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

Gravity Paths

Stage: 5 Challenge Level:

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

New Units for Old

Stage: 5 Challenge Level:

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

Cannon Balls

Stage: 5 Short Challenge Level:

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

Big and Small Numbers in Physics

Stage: 4 Challenge Level:

Work out the numerical values for these physical quantities.

Universal Time, Mass, Length

Stage: 5 Short Challenge Level:

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

Pumping the Power

Stage: 5 Challenge Level:

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

Stage: 5 Challenge Level:

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

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.

Stage: 5 Challenge Level:

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

The Lorentz Force Law

Stage: 5 Challenge Level:

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

The Ultra Particle

Stage: 5 Challenge Level:

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

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.

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?

Sweeping Satellite

Stage: 5 Challenge Level:

Derive an equation which describes satellite dynamics.

Go Spaceship Go

Stage: 5 Challenge Level:

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

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. . . .

Pack Man

Stage: 5 Challenge Level:

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