1. In a slate quarry a load of slates is being raised to the surface for processing.  The total weight of the slates and the platform on which they rest is 21000 N, and to make sure that the platform remains level while it is being raised, the same tension, T,  is maintained in each of the two lifting cables.  Other than the weight of the platform and slates, and the tension in the cables, all other influences on the motion of the platform can be ignored.

Given that the platform is moving vertically upwards at a constant speed of $0.25m{s}^{-1}$, work out the tension, T,  in each cable.