Those of you with a keen eye will notice there's something a bit funny aboot the sprocket here; it is actually a one-way sprocket meant to go on the wheel of a fixie, with a special hub to mount it to a keyed shaft. This is actually what makes this kit worth every penny; it means that you never have the pedals turning under motor power like with some kits, nor do you have the motor dragging on you when pedaling. All in a nice tidy little package that weighs ~2kg with the mounting plate.
Called a sprag clutch. 
Naaaahhh... edit: the most common sprag clutch is a roller bearing modified such that in one direction the rollers cam out and jam against the bearing surface and it locks up. We "whirry little flying thing" wingnuts use them in the drive gearing on our model helis.
These are just like any other bicycle gear cluster, with ball bearings and a separate ratchet & pawl mechanism inside. When the wheel freewheels, now I get that ticketa-ticketa-ticketa-ticketa sound in stereo, and I can hear it clearly as the ratchet in the 7-speed gear cluster on the other side operates at a different timbre & frequency from the one on the motor. 
mnem

Gotta call out on one tiny thing ... it is NOT a fixxie if it has a clutch. It has to be fixed to be a fixxie. It is fairly common for some to call a single-speed (which has a clutch) a fixxie (which has no clutch), but I have no idea why since the riding experience is totally different. A fixxie is something that has to be learned the hard way... after all braking is also done through the pedals.
All the bicycle hubs that I have seen have a separate ratchet & pawl mechanism exactly as dwagon describes. There are now some that I have not yet seen which use different mechanisms; look up Rohloff or DT Swiss. However, the dwagon does not need such high-end parts and I suspect does not have the budget either for such parts. Most importantly of all, the Rohloff does not lend itself easily to tinkering.
I was just talking about this topic this morning at the tail-end of a work meeting. My work client gets that ticketa-ticketa-ticketa-ticketa sound in stereo triplicate (not sure what the equivalent word to stereo is in three ways). His bike has a freehub mechanism for the pedals, another for the electric motor (both located at the bottom bracket) and the third in the rear wheel hub. He suggested getting rid of the mechanism in the rear wheel hub as the other two would suffice. My response was then the derailleur and chain tensioner would have to be redesigned and would be easier to leave the standard parts as-is.
Interesting... I always thought "fixxie" meant fixed gear ratio, as in you get one gear, period... not direct-drive. 
Why on earth would anyone volunteer for that misery...? The ONLY place I can think of where that would have value would be the oval-track "human-powered speed record" crowd where they literally count every gram... Hardly the kind of bike you'd expect to see under a man-bun commuter whose trip to "work" is all of 6 blocks... 
mnem
*currently searching for some decent-durable-looking dwagon-sized pedals that don't cost a hundred-something a pair* 
They are popular with hipsters, which should tell you all you need to know...
As far as I know, the fixxies started out back with the invention of the bicycle.
Then quickly faded away, after all the bicycle with two wheels the same size was known in those days as the safety bicycle.
I suspect the next invention after two wheels the same size was the clutch mechanism with pawls.
The fixxie then returned for the oval track. Some enterprising individual (probably an engineer) reduced weight and parts by eliminating the clutch in order to gain performance.
That niche market created the supply of parts. You do need a homologated design to compete in the Olympics.
The story continues that some bike courier solved a performance and theft issue by using a fixxie. The parts were available due to the oval track bikes. Most people are not capable of riding that misery. Using a fixxie meant the courier could leave his bike just about anywhere without having to carry a lock and no one could steal it since no one could ride the thing.
That was the case until the hipsters came along. I have no idea why the bike courier culture is held in such high esteem to be copied in that way

I learned to ride a fixxie just for the sake of being able to say I can ride anything. However, I still need to
acquire access a penny-farthing and learn to ride it.
I am sane and I absolutely do not volunteer to any greater degree for that misery. I have never owned a fixxie and have no plans of ever having one.

EDIT: Found the reference I remembered (contrary to SWMBO):
Just tripped over this video of “typical London” involving DPD 