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A cart At the top of the hill had 3568 J of potential energy. What is the total potential energy plus Kinetic energy Halfway down the hill?

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Tony H. | Math and Physics TutorMath and Physics Tutor
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Assuming there is no (or negligible) friction as the cart goes down the hill, the total potential energy plus kinetic energy halfway down the hill would be 3568 J.
 
This is based on the conservation of energy - The total energy (kinetic plus potential) remains the same as the cart goes down the hill.  At the top of the hill, it is all potential energy (3568 J).  At the bottom of the hill, there is no more potential energy, and it is all kinetic energy (3568 J).  As the cart goes down the hill, it loses potential energy and gains kinetic energy (it speeds up), but the total energy (kinetic plus potential) remains 3568 J.