One of the biggest Kodiak bears ever killed was shot by Cindy Rhodes on video. She used a 7x57 and the video is worth the price of admission. Single shot at staplegun range piled the monster in a heap.
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Heartshot critters will always go farther than an animal with the suction side of the pump intact. WIth the pump destroyed the blood continues to hold a bit of oxygen for quite a while.
With the suction side of the pump working and a vent on the downstream side a bear will lose blood pressure far faster, and die nearly instantly.
Blood pressure will drop below coherence in less than 7 heart beats if the aorta has a hole equal to its cross-section...
I have shot a number of bears through the heart that went much farther than 100 yards. Dead on their feet, yes, but moving.
art