Cassie is sitting on a frictionless playground slide that makes an angle θ with the horizontal. Maddy, who is on the top of the slide, is holding Cassie's belt parallel to the slide. If Cassie weighs 55.0 [kg] and feels a normal force of 403 [N], what should the tension be to prevent Cassie from sliding? Set the direction down the slide as the positive direction.

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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?”