using a rope to pull the car out of snow. A rope is stretched between a car stuc

Question

using a rope to pull the car out of snow. A rope is stretched between a car stuck in snow and a tree 8 meters away. if the minimum force needed to get the car moving is 3000 Newtons what is the minimum force F that you need to apply at the center of the Rope. assume the ropes tension force is related to its extension X by The Familiar hooke's law F sub T's equals KX. Where the effect of spring constant is K is equal to 5000 Newtons per

meter. is it better or not to have a stiffer rope with the spring at a higher spring constant?

Explanation / Answer

yes it is better to have stiffer rope . for stiffer ropes , the value of spring constant "K" would be large. hence to produce a fixed amount of force , we would need to strech the rope only by small amount in case of the stiffer rope.

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