Hey, if you want some info on physics competitions/ summer schools (you're a bit late for most/ all of them now though
)/ taster days etc. have a look at my website - link's on my profile
Things coming up include the National Science and Engineering Competition (deadline end of October), AstroCamp (a long weekend in September, and some lectures at Imperial College London - they would all help your personal statement
You can also visit places like the Science Museum in London (or a local one), the National Space Centre (Leicester? Leeds? Somewhere else starting with an L...?), etc.
Other things you could think about are volunteering to help younger students at physics lunchtime workshops/ homework clubs/ classes if your school will allow that
Most universities know how hard it is for students to get work experience without any contacts within companies - so there is definitely no requirement to have any! I know quite a few people at Oxbridge who never did any work experience before they applied.
If you are still keen to get some experience, perhaps try contacting your local university's Physics department - some of them don't mind a student shadowing someone just for a couple of days