20 N force is acting on the both sides of a string, what is the tension in the string ?
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Take an analogy, like this: If you do have a string of mass m, then you have to consider where in the string you want to measure the tension. It will be 15N at the end you are pulling, but will be only 10N down at the end attached to the 2m mass, and [provided the string has a constant mass/unit length] a gradient from 15 to 10 along the string. For example, the tension half way along the string will be 12.5N.
It indeed is the Newton's Third law problem. And for this problem, the idea is similar with the sentences above, just change the numerical value.