I'm sorry but no. The solar system will last for 4 to 5 billion years. Then the Sun will run out of hydrogen to fuse and it will grow into a red giant star. The planets nearest the Sun (including the Earth) will be burnt away. Fortunatly by that time some form of intelligence (humans most likely) will have spread from Earth far out into the Galaxy, or even to other galaxies. So the human race will move elsewhere and be safe. But you have nothing to worry about because that is billions of years away! :)

when the sun expands, the aliens will enter from the other side of a black hole and abduct earth. from this point they will throw us back into the black hole where they are having a huge party on the other side. so yes, we would be able to live after the sun becomes a red giant

nope everything on earth will perish

We don't know. It will at least kill all remaining life (noone of us are alive then).

1) "As the Sun expands, it will swallow the planets Mercury and, most likely, Venus. Earth's fate is less clear; although the Sun will envelop Earth's current orbit, the star's loss of mass (and thus weaker gravity) will cause the planets' orbits to move farther out. If it were only for this, Venus and Earth would probably escape incineration, but a 2008 study suggests that Earth will likely be swallowed up as a result of tidal interactions with the Sun's weakly bound outer envelope." Source and further information: http://en.wikipedia.org/wiki/Formation_and_evolution_of_the_Solar_System 2) "We revisit the distant future of the Sun and the Solar system, based on stellar models computed with a thoroughly tested evolution code. For the solar giant stages, mass loss by the cool (but not dust-driven) wind is considered in detail. Using the new and well-calibrated mass-loss formula of Schröder & Cuntz, we find that the mass lost by the Sun as a red giant branch (RGB) giant (0.332Msolar, 7.59 Gyr from now) potentially gives planet Earth a significant orbital expansion, inversely proportional to the remaining solar mass. According to these solar evolution models, the closest encounter of planet Earth with the solar cool giant photosphere will occur during the tip-RGB phase. During this critical episode, for each time-step of the evolution model, we consider the loss of orbital angular momentum suffered by planet Earth from tidal interaction with the giant Sun, as well as dynamical drag in the lower chromosphere. As a result of this, we find that planet Earth will not be able to escape engulfment, despite the positive effect of solar mass loss. In order to survive the solar tip-RGB phase, any hypothetical planet would require a present-day minimum orbital radius of about 1.15 au. The latter result may help to estimate the chances of finding planets around white dwarfs." Source and further information: "Distant future of the Sun and Earth revisited" http://adsabs.harvard.edu/abs/2008MNRAS.386..155S Further information: http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1993ApJ...418..457S

Don't worry, worry 'till worry worries you. No, regarless if the earth could or not the people won't live to see the day.

No. Here is a good video showing what would happen... Fortunately, scientists say this wont happen for a while.

not when its in side the sun

No. It will be incinerated along with mercury, venus and mars. The newly dying star, our sun, in about 4.5 billion more years, will exhaust it's hydrogen to helium fuel conversion, and start to burn hilium when the hydrogen is used up. This will cause it to swell past the orbit of Mars.

Knowing that the sun will become a red giant in the future is a good way of keeping things in perspective. I believe it was Robert Ringer in "Winning Through Intimidation" who proclaimed the "Ice Ball Theory." His thought was, don't take things too seriously, because in roughly 4.5 billion years, they sun will expand to the edge of the solar system, vaporizing all water on earth. It will then fall back to a white dwarf star giving little heat and light to the earth. All that water vapor will condense and fall as snow, leaving this a lifeless, frozen ball of dirty ice. There, feel better about all your worries now? :)