For a comprehensive article on how cable modems work go here: http://computer.howstuffworks.com/cable-modem.htm
If that free cable includes free internet, yes you can connect your modem and go online. Otherwise you have to sign a contract with local internet provider.
There are many places where one can buy a Motorola sb5101 cable modem online for cheap. One can buy a Motorola sb5101 cable modem for cheap at popular on the web sources such as Amazon and eBay.
You are supposed to connect an ethernet cable from the modem to whatever device that needs an online connection and if you have 2 or more items connect the router to the modem with an ethernet cable and then connect the devices to the router with ethernet cables
With an ethernet cable from your router or modem
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Ethernet cable of cat 5e or cat 6 connected to modem or router
If you want to know if you need WiFi to get online then no you don't. You can connect an ethernet cable from your cable modem or from a router to the ethernet port in the back of a PS3
The PS3 does not have a router. It can go online with an ethernet cable connected to a router or modem or with WiFi from a wireless router or modem
The ethernet cable is the cable with end plugs similar to a phone cable but a little larger in appearance. The cable modem may have one leaving it to go to your PC or your router for a home network
No, a cable modem connects to a cat5 coax cable and a DSL modem connects to a standard phone line.
No, just connect the cable to the cable modem and then connect the modem to the computer.
The speed of a cable modem needed to play online games is at least 15Mbps in order to play games seamless. Some games may require more bandwidth depending on configuration.