Adding an extra florescent strip light.

Yes; but as you are "not good with electrical stuff" you might be better getting an electrician to do it . It should not cost much as I cannot think of a simpler task.
I don't wish to alarm you unduly but a lot of people who are not good at electrical stuff and not good at living also.

 

Hi Busterboy.
I thought I might have been a little harsh on you. as it is just a matter of turning the electric off and connecting a bit of 1 mm sq. twin & earth from the three terminals in the existing strip light to the new one . But it might not appear that simple to you once you open up the cover on the fluorescent as there will be a starter, condenser and ballast in there and there is a bit of wiring connecting it all up so you could make a mistake if you have never done it before. I am only a DIY'ER myself but I have being jobs like this (probably illegally!) since I was at Secondary School over 50 years ago when the regulations were not so strict.

 

Busterboy, yes just connect another wire on to the existing light fitting and wire to the next one

 

And look at using HF Fluorescent Fittings,no flicker, no stroboscopic effects & cheaper to run.
Available in single & twin versions

https://www.tlc-direct.co.uk/Main_I...uorescent_Index/HF_Batten_Fittings/index.html

 

If you fitted the first, one BBoy, then you can certainly fit the second.

The warnings above are obviously valid, tho'. I think it'll be less "Will it work?" but more "Will it be safe?"

Issues like will the metal case be properly earthed? Will the entrance for the cable be protected with a grommet if needed? Will the bare earth wire be sleeved? Will the cable be secured with enough clips, and run in an area where it cannot be damaged - 'zones' and all tha'? That kind of stuff.

The actual wiring is the easy bit; you have a L, N and Earth in your first fitting, and you continue these exact same connections to your second lamp - L, N and Earth. Exactly the same.