You are pulling your younger sister along in a small, wheeled cart. You weigh 65.0 kg and the combined mass of your sister and the cart is 35.0 kg. You are pulling the cart via a short rope which you pull horizontally. You hold one end of the rope, and your sister holds the other end. If you are accelerating at a rate of 0.10 m/s2, the rope is inelastic, and the frictional force acting upon the cart is 30 N: (a) What is the tension in the rope? (b) What force are you applying to the ground to produce this acceleration?

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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?”