I call to my loved ones on the trolley that this is the time to use the emergency brake which is already there in case of the much more likely scenario of someone getting caught in the doors. Then, once the trolley has come to a stop with everyone safe I start lodging complaints with the department of transportation over the insane number of safety violations that led to this.

Clearly both trolley drivers' dead man's switches have failed, as has the electronic system that is supposed to detect that, as well as the signal system that registers every track switch. Also, the manual oversight of public transportation has failed catastrophically, either not noticing that something weird is going on or choosing to not shut down the trolleys despite noticing it. No one is supposed to be able to switch trolleys headed in opposite directions unto the same track in the first place, and certainly not anyone with access to an unsupervised manual switch. The design of that junction is insane and illegal.