How can I find the work done by the person on the rope & bucket, & avg force exerted by the person on both?

A person pulls a bucket of water up from well with a rope. initial %26amp; final speeds are 0, and person lifts bucket with vertical distance h.





How can I find the amt of work done by the person on the rope %26amp; bucket, %26amp; the avg force exerted by the person on the rope %26amp; bucket?

How can I find the work done by the person on the rope %26amp; bucket, %26amp; avg force exerted by the person on both?
Pretty simple.


Look at the initial and ending energy states:


Initial energy of the bucket and water = 0


Final energy of the bucket and water =


Potential energy = mass * height * g


= massOfBucketWater * h * 9.81 N/kg





That increase in energy is the amount of work done by the person (Wp). Average force can be calculated as follows:





Work = F * distance


Wp = Favg * height


Favg = Wp/h = massofBucketWater * 9.81 N/kg or rather simply, the weight of the bucket.