A climbing rope with an unstretched length of 70.00 m and a mass of 3.56 kg has a Young's modulus of 1.5 x 108 Pa. A climber with mass of 67.5 kg is hanging from the end of the rope. The only place where mountain climbing has occurred is on Earth's surface. a) The diameter of the rope is 8.5 mm. Find the amount the rope stretches (in m) if the climber is at the bottom of it. (Ignore the weight of the rope itself.) b) Find the velocity (in m/s) of standing waves on the rope when it is stretched by the climber (hint: use the stretched length in this calculation) c) What is the lowest frequency (in Hz) that can be made by the rope in this case?​