That rubber fitting is on both sides of the door hinge on all WP models with plastic tubs, and if it scrubs against anything like the side of the cabinet like a shim or trim piece, it'll cause extra friction than normal. Sometimes the issue is in the frame or hinge itself, and while not an actual "problem", if the hinge arm is moving too closely against the smooth part of the frame where it's designed to act as a snubber pad, it will instead cause a scissor effect and tear the pad itself. My Maytag 4709 model had the right side fall off after about 6 months, and I actually ordered a little pack with two spares, but I repaired the old one with super glue and put a little on the undamaged side too as reinforcement, and it lasted the entire remainder of time I had the machine until it went to my father-in-law's about five years ago, where it seems to still be holding to this day. Interestingly, I had a 520 model for a while for testing that never lost either of its pads, and a 710 model that is now living with our old house that we just moved from, also with no problem from the pads. And now we're in an apartment with a Kenmore badged WP 520 equivalent that also has both pads still.
If you take the kick plate off the machine, and if you're dexterous enough in tight spaces, you shouldn't have to pull the machine out or dismount it. Just reach up and unlink the spring coupler off the hinge arm (just BE CAREFUL to firmly hold it and lower it to prevent it slipping and popping your hand), slip the new or repaired snubber pad over the hinge, and hook the spring coupler back on.
Otherwise, you could slide the machine out just a few inches and it'll take 60 seconds to fix. In this case, since you'll have it out, check to see if the hinge arm is bent at all towards the frame (this can happen commonly in shipping) you could try just slightly straightening it back out and that will reduce the chance that the opening/closing is going to cleave the snubber again.