Operating at maximum power, a diesel locomotive drives a train of mass 2000 tons up a track with a slope a1 = 0.005 at a speed v1 = 60 km/h. Operating at 60% of maximum power, a diesel locomotive drives the same train up a track with a slope of a2 = 0.003 at a speed of v2 = 50 km/h. Find the maximum power of the diesel locomotive and the coefficient of friction.

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