A vertical winch system has a 100m cable and the cable mass is 5 kg per meter length and the maximum payload to be lifted is 100kg. A dc-motor, connected to a 10:1 speed reduction gearbox, drives the 1m diameter winding drum directly. The gearbox efficiency is 76%. You are required to design the maximum output power of the dc-machine for this application (when the cable is extended at maximum length), in Watt, to one decimal if the payload has to move 10m in 3 seconds. Assume gravitational acceleration as $10 m/s^2$. [10]