Two blocks of mass m1 = 4 ?? and m2 = 6 kg are connected by a rope that goes over a  frictionless pulley and provides a tension T. m2 is accelerating upwards with an acceleration a and m1 is accelerating to the right with an acceleration a. m1 is being pulled to the right by a  force F= 80 N that makes an angle 20∘ above the horizontal.  a) What is a, the acceleration of the system?  b) What is T, the tension on the rope connecting m1 and m2?

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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?”