500gr at 1100 fps is 1343ft/lbs, it's good handgun numbers, and so it wouldn't be out of line to think of it along those lines.
Realize that at any distance this is going to be like shooting an arrow, it'll just do the damage and make a hole the size of the bullet.
Meaning you need to hit the lungs and/or heart or the track will be horrible and long, stay away from bone.
Now, if a bear charges you, with the sectional density and muzzle velocity, she shouldn't have issues breaking forehead and reaching brain.
At 50 yards or further I'd be treating it like I was shooting a bow though, precision being incredibly important. So, behind bone and into heart/lungs.
Oh, another thing, use your repeater, meaning, shoot, rack that son of a gun, shoot, rack it, shoot, rack it shoot.
That slug shouldn't be busting up and throwing lead everywhere, you shouldn't find that you have to cut a bunch of meat out and throw it away at the slower velocity, so I'd put shots into it until it was dead. But, especially at that 50+ yard range, I'd be looking to get multiple bullets in the animal if possible, the extra bullets don't have to be perfect shots if that first shot is good.
If the first shot is bad, you need to do everything you can to get a good shot in it quickly.
If you run your specific ballistics you may find that my 50+ yard threshold is actually a 70+ or 100+ yard threshold for you, given your specific velocity and energy at said ranges, given the information I have here, 50 yards sounds about right to me and I'd rather be safe than sorry.
So miss bone and hit the lungs/heart past 50 yards.