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Overarch 2

Bricks are 20cm long and 10cm high. How high could an arch be built without mortar on a flat horizontal surface, to overhang by 1 metre? How big an overhang is it possible to make like this?

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Stonehenge

Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.

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Maximum Flow

Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.

Pumping the Power

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2
You will need to know about complex numbers to attempt this problem.

The necessary background physics and mathematics is contained in the article Electromagnetism