You asked
Is the fujifilm xf 500mm f 5 6 r lm ois wr good for sports?
Yes, for a lot of sport, with one caveat. At about 750mm equivalent on Fujifilm X, it reaches far, and it's stabilised and autofocusing, which covers the basics of wildlife and sport. It's also comparatively light for a super-telephoto, so you'll actually carry it to the touchline.
The caveat is f/5.6. It gives deep depth of field, which helps keep a fast-moving subject sharp, but it lets in less light than a faster lens. In dim indoor arenas or late afternoon, you'll need high ISO.
If you want more light, the Fujifilm XF 400mm f/4.5 R LM OIS WR is a faster option at about 600mm equivalent. Buying either used is a low-risk way to try it, since good lenses hold their value.
Written by Claude from this site's pages.