Not all men can lift the same weight. Some women are stronger than some men. Some men are better built than other men, including taller, huskier, more muscles. As far as I can tell, it should just come down to the person who's most capable of the job.

My former husband worked at the US Post Office . The (supposed) maximum weight for bags of mail , was supposed to be 30 pounds . Compare this to loads of laundry , grocery shopping , toddlers . One Friday , he told me that they had been surprised to see a woman (trainee ) accompaining one of the regular drivers , who was retiring . He told me , that he and the others would normally meet the driver at the dock , when he tooted , and help him move the bags from the truck , to a flatbed on the dock , but since it was a woman , they weren't going to help her . Monday evening , I asked him how things went . He confessed , they heard the truck pulling in to the dock , but had left the flatbed parked just inside the post office door . The woman , threw open the back doors of the truck , but , instead of tossing the bags from the truck to the dock , she tossed them across the entire width of the dock , landing them on the flatbed , parked inside the building . My husband lost another slice of my respect .

Actually a recent study into pay reveals perverse pay incentives are more responsible for discrepancies in pay.
Someone who is flexible in hours (aka doesn't pick up kids), willing to work traditional business hours (Doesn't have kids), willing to work overtime and holidays (doesn't value family time) is more likely to have a higher earning potential certis paribus

No. If you can perform the task you get equal pay, etc.
Gender stereotypes are bullshit.

Work like that has to be assigned to the more physically capable or to people with the tools to get it done. Males and females can both be sufficient for this category, but it's just more likely that males will be more sufficient because they tend to develop in that manner.

That being said, in the case for when the work is compatible with the average of both sexes, then I guess just leave it to another qualification criteria. Give the job to the person with the better reputation, work experience, education, etc.

I don't even think that gender and other such superficial things should even be screened in hiring processes, and there should be third party mediation for hiring processes to make sure everything is done in an honest manner.

If a person is capable of doing a job they should be allowed to do it, doesn't matter their sex. If I'm hired to do a job I'd better be able to do it as well or better than anyone else, so I would expect that from anyone I have to work with. If manager gives physical work to men, they would be working harder for the same pay and that's not conducive to a good working environment. Those working harder will resent those who are given special assignments because of a perceived lack of physical ability. I say give everyone the same work and if they can't cut it then they will need to find another position.

Equal pay...ABSOLUTELY!

I work with a bunch of guys and I do more heavy lifting than some, and less than others.
For the most part we get along great and just do what needs to be done...
If one of us is in pain (sore back or whatever) the others tend to pick up the slack.

let the workers figure it out as management have been having difficulty !

If it is physical work, robots are the best? They don't want pay or any employee benefits. Maybe some batteries. Gender or sex of the robot is immaterial as far as it gets the job done with least cost.

They should be assigned to those who do the job best, ignore gender, ignore everything else. It’s pretty simple.

No. Anyone that can perform the work effectively should do the work. Gender it's not relevant... Or shouldn't be. Aptitude should be the only measure.

if you can do the job you should get the money for it. keep it simple.

No.

Equal pay for equal work. Period.