Other tags that relate to Lennard Jones Potential
Maths Supporting SET. Physics. Chemistry. Energy. Biology. Investigations. Curve Fitting. Calculating with ratio & proportion. STEM - physical world. Engineering.There are 89 results
Broad Topics > Applications > Maths Supporting SET
Reaction Rates
Age 16 to 18 Challenge Level:
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
Big and Small Numbers in the Physical World
Age 14 to 16 Challenge Level:
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Choose Your Units
Age 14 to 16 Challenge Level:
Which units would you choose best to fit these situations?
Guessing the Graph
Age 14 to 16 Challenge Level:
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Big and Small Numbers in Physics
Age 14 to 16 Challenge Level:
Work out the numerical values for these physical quantities.
Approximately Certain
Age 14 to 18 Challenge Level:
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Bigger or Smaller?
Age 14 to 16 Challenge Level:
When you change the units, do the numbers get bigger or smaller?
Investigating the Dilution Series
Age 14 to 16 Challenge Level:
Which dilutions can you make using only 10ml pipettes?
Constantly Changing
Age 14 to 16 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.
A Question of Scale
Age 14 to 16 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?
Big and Small Numbers in Chemistry
Age 14 to 16 Challenge Level:
Get some practice using big and small numbers in chemistry.
Counting Dolphins
Age 14 to 16 Challenge Level:
How would you go about estimating populations of dolphins?
Population Dynamics Collection
Age 16 to 18 Challenge Level:
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Nutrition and Cycling
Age 14 to 16 Challenge Level:
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Bessel's Equation
Age 16 to 18 Challenge Level:
Get further into power series using the fascinating Bessel's equation.
How Do You React?
Age 14 to 16 Challenge Level:
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Perfect Eclipse
Age 14 to 16 Challenge Level:
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Big and Small Numbers in the Living World
Age 11 to 16 Challenge Level:
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Construct the Solar System
Age 14 to 18 Challenge Level:
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Electric Kettle
Age 14 to 16 Challenge Level:
Explore the relationship between resistance and temperature
Stirling Work
Age 16 to 18 Challenge Level:
See how enormously large quantities can cancel out to give a good approximation to the factorial function.
Back Fitter
Age 14 to 16 Challenge Level:
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
Whose Line Graph Is it Anyway?
Age 16 to 18 Challenge Level:
Which line graph, equations and physical processes go together?
Differential Equation Matcher
Age 16 to 18 Challenge Level:
Match the descriptions of physical processes to these differential equations.
Scale Invariance
Age 16 to 18 Challenge Level:
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
Taking Trigonometry Series-ly
Age 16 to 18 Challenge Level:
Look at the advanced way of viewing sin and cos through their power series.
Dangerous Driver?
Age 16 to 18 Challenge Level:
Was it possible that this dangerous driving penalty was issued in error?
Pdf Stories
Age 16 to 18 Challenge Level:
Invent scenarios which would give rise to these probability density functions.
The Wrong Stats
Age 16 to 18 Challenge Level:
Why MUST these statistical statements probably be at least a little bit wrong?
Robot Camera
Age 14 to 16 Challenge Level:
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Carbon Footprints
Age 14 to 16 Challenge Level:
Is it really greener to go on the bus, or to buy local?
Transformations for 10
Age 16 to 18 Challenge Level:
Explore the properties of matrix transformations with these 10 stimulating questions.
Fix Me or Crush Me
Age 16 to 18 Challenge Level:
Can you make matrices which will fix one lucky vector and crush another to zero?
Speed-time Problems at the Olympics
Age 14 to 16 Challenge Level:
Have you ever wondered what it would be like to race against Usain Bolt?
Integration Matcher
Age 16 to 18 Challenge Level:
Can you match the charts of these functions to the charts of their integrals?
Real-life Equations
Age 16 to 18 Challenge Level:
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Alternative Record Book
Age 14 to 18 Challenge Level:
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Stats Statements
Age 16 to 18 Challenge Level:
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
Big and Small Numbers in Biology
Age 14 to 16 Challenge Level:
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Quorum-sensing
Age 16 to 18 Short Challenge Level:
This problem explores the biology behind Rudolph's glowing red nose.
Designing Table Mats
Age 11 to 16 Challenge Level:
Formulate and investigate a simple mathematical model for the design of a table mat.
Biology Measurement Challenge
Age 14 to 16 Challenge Level:
Analyse these beautiful biological images and attempt to rank them in size order.
What Do Functions Do for Tiny X?
Age 16 to 18 Challenge Level:
Looking at small values of functions. Motivating the existence of the Taylor expansion.
Building Approximations for Sin(x)
Age 16 to 18 Challenge Level:
Build up the concept of the Taylor series
Far Horizon
Age 14 to 16 Challenge Level:
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
NRICH is part of the family of activities in the Millennium Mathematics Project.