I'd love for someone to compute the force of impact of the Enterprise-D at Warp 9. Please snap to it, someone! That's a lot of newtons.
As has been stated, at Warp 9 the ship really isn't traveling at 1024 times the speed of light. It's just bending space to effectively make that the case. In "reality" it's not moving any faster than some fraction of
c. Likely .25c as is the standard speed of full-impulse to restrict time dilation effects.
.25c is 74,948,114.5 meters per second.
The mass of a Galaxy-class starship is 4,500,000 metric tons.
That's 12,638,744,700.986,498,062,500,000 Joules of energy. (12.6 septillion.)
Which is equal to 3,020,732,481 megatons.
- There are around 17,300 nuclear bombs in the world. Let's go crazy and assume they're all as big as the Tsar Bomba, at 50 megatons the largest nuclear bomb ever detonated. That's only 865,000 megatons. So this impact would be over 3500 times as powerful as detonating every, single, nuclear bomb on the planet inside of the split-second of that impact.
To put another way it's equal to 3.5 zetawatts per hour. Roughly 2.5% of the luminosity of Wolf 359.
I *think* these calculations are accurate as I had to look up the conversions and do most of the math myself as when we're dealing with numbers this large they blow out most on-line calculator programs, all of the ones I encountered didn't even deal with units larger than megatons or terrawatts.
So the impact of a Galaxy-class starship traveling at "maximum warp" (really only .25c/full impulse) would release inside of that split-second impact something equivalent to the amount of radiant energy released in 90 seconds by one of the dimmest known stars.
If you want to assume that traveling at Warp 9 the ship really is moving at 1014 times the speed of light, knock yourself out on going up from there on these calculations.