Traveling to the other side of a black hole is a hypothetical scenario, as our current understanding of physics does not provide a clear understanding of what lies beyond the event horizon of a black hole. The immense gravitational forces near a black hole's event horizon make it difficult to predict the behavior of matter and spacetime within.
However, if we assume a simplified scenario where you somehow manage to traverse a black hole without being crushed by its gravity or affected by its intense tidal forces, it's important to note that time and space near a black hole are significantly distorted. Time dilation, gravitational redshift, and other relativistic effects would come into play.
Regarding your weight, near the event horizon of a black hole, the gravitational forces would be extremely strong, causing a significant increase in weight. The precise amount of weight increase would depend on the mass and size of the black hole. As you approach the event horizon, your weight would increase exponentially, potentially becoming infinitely large at the event horizon itself.
Regarding the time it would take to travel to the other side of a black hole, if we assume no acceleration and neglect the extreme gravitational effects, it would theoretically take the same amount of time it would take to traverse the diameter of the black hole. However, this is a highly simplified scenario and not reflective of the actual physics involved.
In reality, crossing the event horizon of a black hole would likely be a one-way journey due to the extreme conditions and unknown physics involved near the singularity. It's important to remember that our current understanding of physics breaks down at the singularity of a black hole, and any predictions beyond that point remain speculative.