Question

At a commercial shipping dock, a crane operator attaches a cable to a 1,240 kg shipping container and then uses the crane to lift the container vertically at a constant velocity. The container is raised to a height of 41 m over a time of 13 seconds. Determine the power output of the crane's engine while lifting the shipping container. (3 points)\

Answer 1

Answer:

38,325.54 W = 38.3 KW

Explanation:

Assuming that the container is initially at ground level.

Given

Mass of shipping container = 1240 kg

Height raised to = 41 m

Time taken = 13 s

Power = (Energy expended)/(Time)

Energy Expended = change in potential energy = mgH = (1240×9.8×41) = 498,232 J

Time taken to expend that energy = 13 s

Power output = (498,232/13) = 38,325.54 W = 38.3 KW

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