Electromagnets and Induction

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Hi all, i was wondering if you could help me calculate a few things to do with induction and electromagnets.

I wanted to look into energy harvesting or charging using electromagnets and wanted to know how to calculate the energy that is created from this product below

http://www.qfonic.com/images/products/shaketocharge/image01.jpg

It is not much more than a coil of wire, a magnet, a bridge rectifier, super capacitor and white LED. A small magnet attached to an on/off switch is used to turn on the light by activating an internal reed relay. Shaking the device forces a large magnet slug to slide back and forth inside the body of the device therefore charging the capacitor inside.

How would i work out exactly how much energy is being gathered from the shaking of this device (if that is a stupid question can you give me an example of a similar system with the WxHxB and no.of coils and size of magnet running through.. so i can get an understanding of how to calculate this.. much appraciated!)

Sorry if its a stupid question
 

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