As shown in the diagram above, a simple pendulum of length 2.5 meters is composed with a string with a weight of mass 1.6 kg at the end (assume that all of the mass of the pendulum as at the end, and the diameter of the pendulum is negligible compared to the length).  When the pendulum is at an angle of θ = 58 degrees away from vertical (as shown in the diagram above) the weight at the end has a speed of 3.6 meters per second.  Assuming that the pendulum moves under the influence of only gravity (and g =9.8 meters per second squared), find the tension (in newtons) in the string when the weight reaches its lowest position.  (The tension in a string is reported as a positive quantity regardless of the direction.)

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