Final answer:
To calculate the work required to lift the rope and bucket up 12 ft, multiply the weight by the distance.
Step-by-step explanation:
To calculate the work required to lift the rope and bucket up 12 ft, we need to consider the weight of the rope and bucket, as well as the distance it is being lifted. The work done is equal to the force multiplied by the distance moved.
The total weight of the rope and bucket is 90 lb (80 lb + 10 lb). The distance being lifted is 12 ft. To calculate the work, we multiply the weight by the distance: 90 lb * 12 ft = 1080 ft-lb.
Therefore, the work required to lift the rope and bucket up 12 ft is 1080 ft-lb.