A crane is being used to lift a container onto a cargo ship. You program the cra

Question

A crane is being used to lift a container onto a cargo ship. You program the crane so that it lifts the container with a constant positive acceleration, a, during the first half of the lift and with a constant negative acceleration of the same magnitude, -a, during the second half of the lift. You want to do this so that the maximum speed of the crane is 4.0 m/s. The containers are initially at rest on the dock. The container has a mass of 1350 kg and the total distance the container is lifted is 2.5 m. What is the maximum power the crane must provide to the container during lift?

Explanation / Answer

v^2 = 2as

a = 2.72 m/s

force = ma

= 3538.8888

power = F*V

= 12386 W

12386

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