Hawk Corporation begins making and selling motorcycles in 2000 under the mark "Hawk." Ten years later, Hawk.com, Inc.

Hawk Corporation begins making and selling motorcycles in 2000 under the mark "Hawk." Ten years later, Hawk.com, Inc., a different company selling medical equipment and supplies, begins to use "hawk" as part of its URL and registers it as a domain name. Can Hawk Corporation stop Hawk.com's use of "hawk"? If so, what must the motorcycle-maker show?