A direct rope haulage has the following details:
Output=24 tonne/hour
Length of trip =610m
Gradient 1 in 12
Capacity of mine car =1.0 tonne
Tare weight of mine car =0.5 tonne
Average rope speed =1.694 m/s
Change over time of cars =3 minute
Acceleration due to gravity =10.0 m/s²
Neglecting all frictional resistance and mass of the rope, the minimum power required, in kW, to raise the loaded mine cars is ______ (rounded off to 3 decimal places)