stemNRICH : Science, Technology, Engineering, Mathematics enriched  
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Welcome to physNRICH: the physics section of stemNRICH. This contains mathematical activities for students aged 14  19 designed to complement and enhance the study of physics.
Area of maths  Style  Question  Description 

General  Image

Big and Small Numbers in Physics  Work out estimates of the numerical values for these physical quantities. 
Dynamics  See also the Dynamics problems on the engNRICH pages  
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Speedo  Track the motion of this dangerous driver.  
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Dangerous Driver  Analyse the dynamics to determine if this speeding ticket was issued in error.  
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The Notsosimple Pendulum 1  See how the motion of the simple pendulum is notsosimple after all.  
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The Notsosimple Pendulum 2  Friction is now added to the approximate simple pendulum, leading to a more realistic solution.  
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Motorbike Momentum  Look at the dynamics of the sphere of death and see the results in action on the video.  
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Whoosh  A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?  
Gravitation  Image

Cannon Balls  How high will a ball taking a million seconds to fall travel? 
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Gravity Paths  Where will the spaceman go when he falls through these strange planetary systems?  
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Escape from Planet Earth  How fast would you have to throw a ball upwards so that it would never land?  
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Earth Orbit  Follow in the steps of Newton and find the path that the earth follows around the sun.  
Units in physics  Image

Universal Time, Length, Mass  Can you work out the natural time scale for the universe? 
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New Units for Old  Give yourself an indepth units workout by matching up these physical phenomena with their dimensions and standard units.  
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Levels of Bohr  Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.  
Power, work and energy in physics  See also the Power, Work and Energy problems on the engNRICH pages  
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Lunar Leaper  How high could you polevault on the moon?  
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Go, Spaceship, Go!  Show that even this powerful spaceship will eventually run out of overtaking power.  
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Sweeping Satellite  Look at kinetic and potential energies of a planet to find out about the moment of momentum.  
Atoms and particles  Image

Explore the energy of this incredibly energetic particle.  
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Striking Gold  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  Investigate the effects of the halflives of the isotopes of cobalt on the mass of a mystery lump of the element.  
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Pack Man  Work out the best packing structure to maximise the density of a metal.  
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Lennard Jones Potential  Investigate why the LennardJones potential gives a good approximate explanation for the behaviour of atoms at close ranges.  
Electricity  See also the Electrical Engineering problems on the engNRICH pages  
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Resistance  How would the resistance build up in an infinite network of resistors?  
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Pumping the Power  Look at how the power in a lightbulb varies over time.  
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Can you arrange a set of charged particles so that none of them starts to move when released from rest?  
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Explore the Lorentz force law for charges moving in different ways.  
Fluids  Image

Keep Your Momentum Going  Find out about the steady flow momentum equation of fluid dynamics. 
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Moving Stonehenge  Explore the transportation by river of the blocks used to make Stonehenge  
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Poiseuille's Equation  Look at the flow of fluids down circular pipes.  
Gas laws  See also the Gases problems on the chemNRICH pages  
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Various problems which make you think about the kinetic ideas underlying the ideal gas laws.  
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Explore how changing the axes for a plot of the gas law equations can lead to different shaped graphs emerging.  
Waves and oscillations  
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Mach Attack  Look at the wavefronts produced by aricraft as they approach and go beyond Mach 1.  
Advanced mathematics in physics  Image

The Real Hydrogen Atom  Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms. 
Articles  Image

Modelling Assumptions in Mechanics  This advanced article demonstrates mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile. 
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The Power of Dimensional Analysis  Read about this very useful concept and view physical equations in a different light.  
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Electromagnetism  Find out how Ohm's law develops and find a fundamental link to complex numbers along the way.  
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Which Twin is Older?  A simplified account of special relativity and the twin paradox. 