Could a supervolcano produce enough force to project a 35,000 tonne rock ~2000km away from the source?
The kinetic energy of such an object would be $3.434(10)^{14}$ J, using the equation $E_k = 0.5mv^2$.
When Mount St. Helens erupted in 1980, it released $24$ megatons of thermal energy. Using a converter, this is equivalent to $1.004(10)^{17}$ J. This is 292 times the energy required to move a $35,000$ tonne rock $2000$ km.
Now, the energy released by Mount St. Helens was the overall energy released, not the energy given to one lump of rock and Mount St. Helens was not a supervolcano. So, could a supervolcano shoot a $35,000$ tonne rock $2000$ km away? Potentially, but unlikely. Energy always takes the path of least resistance so instead of moving a $35,000$ tonne rock $2000$ km away it will more likely move significantly more material that is in the form of dust or ash.
From what I understand, Volcanoes eruption energy can be calculated with Kinetic Energy with finding the mass (kg) of lava & debris being fired and the speed of which the debris is shot out to find it in amount of energy (joules)