Internet bridge from house to shop.

With Internet provision from most Telephone companies you can get ADSL at maybe 25 Mbps Bonded. You must have 2 clean and short distance cable pairs from the Telephone Switch and have two clean pairs of Cat3 in house wires from the Demark to the Jack.

With Cable TV provision internet you are limited to the distance from the nearest fiberoptic fed 'NODE" and the size of the Coax in the street. Coax is very limited on bandwidth and you share that max bandwidth with many others.

Fiber Optic uses just 3 colors and using packet switching "Space and Time Division" to give "UP TO" 10 Gigabits. These "Feeder Fibers" leave the Switching Office on 1 glass fiber and go to a Splitter Cabinet where it is split into 15 to 32 "Distribution Fibers". One distribution fiber is sent to a terminal near your house/shop. Yes you do share that 10 Gig but again it is packet switched so your data is not shared and it never fills the whole bandwidth of the 1 Feeder Fiber. Each splitter cabinet may have 20 Feeder Fibers for 200 homes/business. On the side of the house is a ONT (Optical Network Termanal) that is powered by your house power. It takes those 3 colors of laser light and converts it into usable services like TV, Voice and Internet. If they ever need more than 10 G on 1 Feeder Fiber, they just add 3 more colors, and 3 more colors.....

Power Outages are another issue with ADSL and Cable Coax. When the power goes out the NODE drops out. Even running your Generator does not feed power to the NODE. If you live within 3 miles from a true Switching Office then your Generator MAY get you back on line but most NODE's out where I live do not have Gen Backup.

Fiber Optics are fed from the Switching Office and are passive light, no electric power.
The light signal can go up to 15 miles before a booster is needed. It is a special LED that puts out enough power to light grass on fire and will burn your skin in 5 seconds.
You can NOT see the spectrum of these lights. An old saying, "Do not look at the laser light with your remaining good eye"
Since it is passive light and the ONT at your wall is powered by inside power, if you fire up your generator you have FULL SERVICES. The switching Office has a HUGE Battery Backup system to take over when commercial power drops, then a HUGE V12 diesel Genarator fires up to power up the areas networks. Most have 5,000 to 10,000 gallons of diesel.
So I have fiber to my home and router in my home.
Can I not run a cat5 from that router to another router in my shop?