Final answer:
The question seems to confuse a sled's pull strap with the stretch of a climbing rope. The information provided relates to how a 65.0-kg mountain climber stretches a 0.800-cm diameter nylon rope by 9 cm when suspended 35.0 m below an outcrop. The force constant of the rope factors into this calculation, and changes if the rope's length is doubled.
Step-by-step explanation:
The question regarding how long is the pull strap for the nylon sled appears to be mistakenly worded, as the provided information does not directly pertain to a sled's pull strap but rather to the stretch of a nylon rope used in climbing. Hence, I will address the concept of how much a nylon climbing rope stretches under a specific load, which falls under the subject of Physics, a topic typically covered in high school curricula.
Considering the provided information, we know that a 65.0-kg mountain climber stretches her 0.800-cm diameter nylon rope by 9 cm when she hangs 35.0 m below a rock outcropping. The force constant, or spring constant, of the nylon rope is given as 1.40 × 104 N, which implies that the rope is quite rigid and is not meant to stretch significantly, aligning with what is typically expected from climbing ropes as opposed to bungee cords, which are designed to stretch considerably.
If the climber were using twice the length of nylon rope, the stretch would also be different. The force constant would remain the same, but the change in length would be adjusted according to the modified length of rope in use. This is an important consideration for climb planning and safety in the field of mountaineering.