Can an Earth-like planet survive if our Sun went Supernova? First, I would like to point out, yes, our sun does not have enough mass to be a candidate for Supernova, this is a scenario were our sun is though, and after the various life cycle stages of the sun and whether or not life managed to survive or not on the planet, The Sun goes of as a Supernova, it is 1 AU from an Earth-like planet, or equivalent to 1 AU from a massive star, would the planet still be standing or would it be obliterated from the face of the Galaxy?

Here are some of the links that I have been looking through but could not find an answer for:


https://www.physicsforums.com/threads/effective-destructive-range-of-supernovae.312925/
https://earthsky.org/astronomy-essentials/supernove-distance
https://www.popularmechanics.com/space/deep-space/a26483/supernovas-deadly-twice-as-far-away/
One way of estimating this is to look at how much energy could be received by the planet. At distance $d$ it takes up $r^2/4 d^2$ of the sky as seen by the supernova. So for a $10^{44}$ J blast that is about  $4.5444\times 10^{34}$ J. 

The gravitational binding energy of Earth is about $2\times 10^{32}$ J. So we have about 227 times as much energy as is needed to separate all pieces of the planet to infinity. It is also a few thousand times the energy needed to heat up an Earth-mass of iron from 0K to vaporisation. So, yes, it looks like it could well obliterate the planet. 

Whether it actually does so is a complex question of how protected the evaporating planet is by its plasma sheath during the explosion. Given that actual terrestrial exoplanets in close orbits at 2000K may lose an Earth mass per gigayear it looks plausible that at least slower scenarios can vaporise planets.