A smart-cart was swiveled in the vertical (i.e. in front of us). The cart’s mass is ~240 grams and is hanging from a 0.5 m inextensible light string. In this experiment, the time in seconds and force of tension in Newtons for the smart-cart was measured. a) Find an algebraic equation that relates the minimum/maximum tension to the minimum/maximum linear speed so that the speed magnitudes may be estimated.  b) What would be a good way to approximate the linear acceleration at a given time? (i.e. ~3.25 s, which is approximately halfway between the minimum and maximum tension values)

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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?”