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Resources tagged with physics similar to The Mathematical Problems Faced by Advanced STEM Students:

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There are 81 results

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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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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Chemnrich

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

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. . . .

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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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Guessing the Graph

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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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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More Realistic Electric Kettle

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

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Neural Nets

Stage: 5

Find out some of the mathematics behind neural networks.

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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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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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Engnrich

Stage: 5 Challenge Level: Challenge Level:1

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

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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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Advanced STEM

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

Advanced problems in the mathematical 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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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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Bigger or Smaller?

Stage: 4 Challenge Level: Challenge Level:1

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

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Choose Your Units

Stage: 4 Challenge Level: Challenge Level:1

Which units would you choose best to fit these situations?

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A Question of Scale

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

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?

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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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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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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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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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Which Twin Is Older?

Stage: 5

A simplified account of special relativity and the twins paradox.

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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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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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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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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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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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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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Levels of Bohr

Stage: 5 Challenge Level: Challenge Level:1

Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.

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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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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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Stemnrich - Technology

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

This is the technology section of stemNRICH - Core.

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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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Electromagnetism

Stage: 5

Read all about electromagnetism in our interactive article.

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Alternative Record Book

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

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

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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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Ancient Astronomical Terms

Stage: 3, 4 and 5

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

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Sweeping Satellite

Stage: 5 Challenge Level: Challenge Level:1

Derive an equation which describes satellite dynamics.

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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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Eudiometry

Stage: 5 Challenge Level: Challenge Level:1

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

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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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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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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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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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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.