That ought to be a rocker! 250 gr bullet at 2500 fps out of a 5 lbs rifle???
It isn't as bad as you might think.
H&R's listed weight for the rifles isn't very precise. The .35 Whelen version weighs in at about 6.6 lbs with iron sights, and 7.5 lbs with the factory scope (if selected).
It's a good compromise weight for compactness and carry-ability, versus recoil and controllability.
It'll let you know you just launched a sledgehammer, but shouldn't be punishing with proper technique.