we would explode and if there were survivors they would freeze to death
It would supernova.
The Sun won't go supernova (it isn't massive enough) so the question has no real answer!
It will just melt into the sun, not big enough to make it instantly go supernova.
vaporization of the spaceship
burn up
It is very unlikely to the sun will every cease to rise. It is more likely that the sun would first cease to exist, most likely by exploding into a supernova. This would kill all of Earth's inhabitants.
If the sun were to go supernova, it would release a massive amount of energy and radiation. This would likely destroy Earth and all life on it. The intense heat and radiation would vaporize the planet and its atmosphere, leaving behind only debris. The consequences would be catastrophic and there would be no survivors.
If the sun exploded (went into supernova), then I highly doubt that terraforming of ANY world in our Solar system would be enough to save us from the catastrophic explosion of the Sun.
if there was no sun there would be no solar system. If the sun went out tomorrow we would all freeze to death in a very short time
The weather will always be cold and there will be no more sunlight.
The result would be death long before you reached the Sun's surface, due to the intense heat and radiation.
No, Mercury is too close to the sun and would be vaporized in the event of a supernova. The extreme heat and radiation from a supernova would completely destroy the planet.