In: Physics
A 75 kg mountain climber hangs stationary from a bungee cord over a steep incline of 80◦ (nearly a vertical wall). The bungee cord has a Hooke constant of k = 550 N/m and is parallel to the incline.
(a) If the climber has a coefficient of friction μs = 0.9 with the incline, how much will the rope deform? Assume that the maximum amount of friction (and thus the minimum deformation).
(b) Suppose the climber loses their grip, reducing this coefficient to only μs = 0.1. Once they come to a stop, what is the rope’s new deformation? Again assume the maximum amount of friction.
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