A friend has gotten their car stuck in the mud. Instead of calling AAA, they get a rope out of their car and attach it to a large tree.

One end of the 35-m rope is tied to a tree; the other end is tied to the car that is stuck in the mud. Your friend pulls sideways on the midpoint of the rope, displacing it a distance of 1 m, and this is enough to pull the car free. If she exerts a force of 90 N on the rope, in a direction perpendicular to the rope, determine the force exerted on the car by the rope.

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