A truck loads a 10.0 kg box on its platform, the coefficients of friction between the surface of the truck and the box are: μk=0.200 and μs=0.500. When the truck climbs a 10.0∘ inclined road with an acceleration of 1.00 m/s2, the box remains at relative rest on the surface of the truck. a) Determine the force of static friction acting on the box at that moment. Suddenly and instantaneously, the driver accelerates the truck to 4.00 m/s2, and the box begins to slide on the surface of the truck. c)  If the box is 2.00 m from the end of the truck bed, how long will it take to travel that distance?

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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?”