Energy and the Simple Harmonic Oscillator (Problem 35)

The length of nylon rope from which a mountain climber is suspended has a force constant of $1.40\times {10}^4\text{N/m}$ (a) What is the frequency at which he bounces, given his mass plus and the mass of his equipment are 90.0 kg? Ignore the change in gravitational potential energy after the cord begins to stretch. (b) How much would this rope stretch to break the climber’s fall if he free-falls 2.00 m before the rope runs out of slack? Hint: Use conservation of energy.(c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used. Select the answer to part (a).