'(Have you) lost your way?' is certainly not wrong, but it sounds more old-fashioned or British to me. A character in a fairy tale, like Snow White or Goldilocks, might lose her way in the forest. (-:

Is your GPS kaput/ not working?

Wenn schon "mit Augenzwinkern."

I second hm.

Wie ? "kaput" wird verstanden und Siehe auch: Kaputtnik nicht ?
:-)

My understanding is that "kaput" entered English through German, which would make it widespread through the Northeast, Mid-Atlantic and Midwest, but "kaputnik" through Yiddish, which means it is much more regional, mostly in New York and the surrounding areas. There are many, many more Yiddish words in local use in NYC than even Chicago or Boston. "Kindergarten" is common throughout the US, but "Tschotschke" is mostly limited to New York.

Kaput is certainly generally understood and used, though other synonyms for broken might be more frequent: on the blink, out of order, not working ...

I've never heard of a kaputnik in English and wouldn't have any idea what it might mean, so I wouldn't have thought it was a generally accepted English word. (I did wonder about a play on Sputnik, but that seems to be a coincidence.) However, there are other English words with -nik, like neatnik, beatnik, refusenik ...

Words ending in -ik are very often from Polish or Russian Yiddish. There are dozens of different kinds of Yiddish (and I am no expert other than speaking reading and rereading a Yiddish-English vocabulary since the 1970's -- The Joys of Yiddish -- and having a New York-born mother who understood a surprising amount of Yiddish. "-ik" is apparently a Russian diminutive that was imported to the USA with mostly Polish and Russian Jewish immigrants who spoke Yiddish, and continued to be used with purely English words: Boychik (suesser juenger Mann), Nogoodnik (Taugenichts), etc.

American English still has a lot of regionalisms and dialects. I saw an interview on television today of a woman from a remote part of Georgia (USA) and I had to turn on the subtitles to know what she was saying.

The suffix is actually -nik and can be found in many English words, specifically after the Russian satellite Sputnik was launched in 1957. Words based on that are beat-nik, refuse-nik, kaput-nik, etc. Apparently the "nik" means something like "person or thing associated with or involved in." This according to etymonline.com

eher mit einem Augenzwinkern [#0]
In that case I think the OP's suggestion of "(Have you) lost your way?" fits fine.

This thread has gone hopelessly off topic so I'll just give it another kick.

The suffix is actually -nik
Hmm...what about apparatchik? I have heard of that word, but I've never run across refusenik or kaputnik. I'd understand them in context by analogy - probably.

In that case I think the OP's suggestion of "(Have you) lost your way?" fits fine.
I do, too.

So do I, but then, "but it sounds more old-fashioned or British to me" applies to me. ;-)