This is not HW, just something I was thinking about... Let's say two peole each lift a one kilogram mass from the floor to a height of 1.0 m off the floor. If both people lift with a force of 9.8 N, the masses are lifted at the same constant speed, each does the same amount of work and each delivers the same amount of power (because equal times). If the exercise was conducted again and Person 1 lifted with a force of 9.8 N, Person 1 would do the same amount of work as in the first scenario and deliver the same power. But, if Person 2 was to raise the mass to a height of 1.0 m in a shorter time than Person 1, Person 2 would have delivered more power. Did Person 2 also do more work? Person 2 would have had to apply a greater force than the 9.8 N, resulting in more force over the same distance. More work, right? Is the work done against gravity equal to mgh, only if the object is lifted at a constant speed? Is it even possible for Person 2 to deliver more power in this scenario without doing more work?