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The nylon rope from which a mountain climber is suspended has an effective spring constant of...

The nylon rope from which a mountain climber is suspended has an effective spring constant of 1.40 × 104 N/m. (a) If his mass plus the mass of his equipment is 90.0 kg, at what frequency does he oscillate up and down on the nylon rope? (b) If he holds a slack loop of length 2.00 m and then loses his footing and free-falls, how much would this rope stretch after the rope runs out of slack (i.e., after he falls 2 m)? (Use energy conservation.)

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