An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Figure 1). The rope will break if the tension in it exceeds 2.50×104 N, and our hero's mass is 82.0 kg. If the angle between the rope and the horizontal is θm = 10.2, find the tension in the rope. Express your answer in newtons. What is the smallest value the angle θ can have if the rope is not to break? Express your answer in degrees

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!