They both billed themselves as "modern C" but Go failed to deliver on that so instead it's now light/modern/ Java. Rust hopes to succeed as a "modern C" where Go failed.

Superficially, they both have curly braces, they are both being supported by prominent internet companies, and due to some mixed messaging, the public perception is that they are both systems languages. So it's not surprising that these questions are being asked, but I do hope that the message will get through to folks that despite surface similarities they are actually quite different.