Problem 9:The length of nylon rope from which a mountain climber is suspended has a force constant of1.05 10⁴N/m. Need Answer for part C and D

Part (a)What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is82kg?

f=1.7901.790 Correct!

Part (b)How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls2.8m before the rope starts to stretch?

x=73.5073.50 Correct!

Part (c)What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is82kg if the rope is twice as long? f₂ =

Part (d)How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 2.8 m before the rope runs out of slack if the rope was twice the length? x₂ =

Problem 10:A novelty clock has a0.0065-kg mass object bouncing on a spring which has a force constant of1.3N/m.

Part (b)How much kinetic energy, in joules, does the object have at its maximum velocity?KE =

Problem 11:Suppose a spring has a spring constantk₁=620N/m as the spring is stretched fromx= 0 tox₁=31cm. The spring constant then changes tok₂=240N/m as the spring is stretched tox₂=65cm. Fromx₂=65cm tox₃=96cm the spring force is constant atF₃=115N.

Part (d)Calculate the work done, in joules, in stretching the spring from x₁ to x₂. W₁₂ =

Part (e)Calculate the work, in joules, necessary to stretch the spring from x = 0 to x₃. W₀₃ =