The length of nylon rope from which a mountain climber is suspended has a force constant of \(1.40\times 10^4\; N/m\). What is the frequency at which he bounces, given his mass plus and the mass of his equipment is 90.0 kg?
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. Ignore the energy the climber gains as the rope stretches.
Express your answer in centimeters.