What is the tension in each rope in the following two scenarios. A) An 800N person is holding onto a rope hanging down from a tree branch. What is the tension in the rope? And B) the same person is holding onto a rope going over the tree branch (acting as a perfect pulley) and is then tied to their waist. What is the tension in the rope?  Draw a free body diagram for each case.

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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”