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Two blocks of weights 45.0 and 83.0 N are connected by as massless string and slide down an inclined plane making an angle of 31.0 deg. to the horizontal. The cofficient of kinetic friction between the lighter block and the plane is 0.24 and that between the heavier block and the plane is 0.33. Assuming that the lighter block ``leads'', find the magnitude of the lighter block's acceleration.

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