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Answer :
Final answer:
The tension in the trailer hitch connecting the trailer to the tractor can be calculated using Newton's second law of motion. The only major force acting on this system is the tension caused by the tractor's acceleration. Hence, the tension equals the product of the trailer's mass and its acceleration.
Explanation:
The tension in the trailer hitch that connects the trailer to the tractor can be determined using Newton's second law of motion, which states that the net force acting on an object equals its mass times its acceleration (F = ma).
The only external forces acting on the trailer hitch are its weight (negligible in this case) and the tension T supplied by the tractor’s acceleration. Thus the net force is primarily due to the tension in the hitch. So, we have F = T (since other forces are negligible). If we know the mass of the trailer, we can calculate this tension, as T = ma. For example, if the mass of the trailer (m) is 1000 kg and the acceleration (a) is 2 m/s^2, the tension in the hitch would be T = 1000 kg * 2 m/s^2 = 2000 N. Therefore, under these conditions, the tension that keeps the tractor and trailer connected is 2000 Newtons.
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