This competition is now closed. The winner will be announced in October 2015.
If you are currently finishing your 1st year of 6th form or college study, and would like to be in with a chance of winning a Sony Playstation 4, then take a stab at 3 the problems below.
Submit your typed or neatly-written solutions to email@example.com or by post to Dr Manuela Mura, School of Mathematics and Physics, University of Lincoln, Brayford Pool, Lincoln, LN6 7TS.
Please remember to include your full name, postal address, school/college name and email.
The closing date for entries is 24th July 2015.
To build magnificent buildings, such as Lincoln Cathedral, medieval engineers used various machines. Estimate the maximum weight that can be lifted by Agostino Ramelli’s three-wheel winch, if operated by one person.
- Estimate how high a regular party balloon can fly. Support your estimate with necessary measurements and calculations. You may use video evidence if desired.
- Measure how high a regular ping pong/table tennis ball jumps out of water as a function of submersion depth under the water. Film your measurements, plot your results and explain your findings.