Your computer probably cannot connect to the router using the short network cable provided because the wired network adapter is remembering the IP address that it was using previously.

You need to force it to get a fresh IP address from the router. Many ways to do this.

Right click the network icon in the system tray and select troubleshoot.
or
Open the network adapters page, right click the icon for the wired adapter, disable, then enable.
or
Open an administrative command prompt and type ipconfig /release and press the enter key, then ipconfig /renew and press the enter key.
or
With the cable connected between the computer and the router, reboot the computer.

Now try connecting to http://192.168.0.1