A teenager is pushing a cart.  There is no friction between the cart and the ground. Mass of the cart is 120 kg. Cart is initially at rest (at time = 0 s). Direction to the right is positive. He pushed the cart for 5 s (from t = 0 s to t = 5 s) with a force of 75 N to the right hand side. Then he stopped pushing for 5 s (from t = 5 s to t = 10 s). Then he pushed the cart for 10 s (from t = 10 s to t = 20 s) with a force of 75 N to the left hand side. Question:  Calculate the work done on the cart from t = 0 s to t = 5 s.

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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?”