Final answer:
In the context of Physics, calculations involving ropes often require understanding the properties of the rope and the forces involved. For instance, a 65.0 kg climber would stretch a nylon climbing rope about 9 cm when dangling 35 m below a rock, a value that lines up with expectations for non-elastic climbing ropes.
Step-by-step explanation:
When considering how many feet of rope are needed for a particular task, Physics principles are typically employed to make calculations based on force, tension, length, and angles. For example, to find the tension in a rope holding a trapdoor at an angle, or to determine the amount a rope stretches under a climber's weight, one needs to understand the physical properties of the rope and apply equations from Physics. In the case of a mountain climber, the stretch of a nylon rope can be calculated considering the force exerted by the climber's weight and the rope's force constant.
In a practical example, if a mountain climber weighs 65.0 kg and is hanging 35.0 m below a rock outcropping with a rope of 0.800-cm diameter, we can calculate the stretch of the rope to be approximately 9 cm. This value is reasonable for a nylon climbing rope, emphasizing the rope's lack of excessive elasticity, which is a desirable characteristic for safety.