The track is highlighted in yellow for our analysis. From point 1 to point 2, the cars are being pulled upward at a constant low speed. From point 2 to point 3 the carts are rolling down the track under the influence of gravity. Assume friction is negligible. A PhET style energy graph (with 1 intentional mistake) appears below:

- How can the total energy be increasing from point 1 to point 2? Where is that energy coming from?
- How come the Total Energy is greater than the potential energy from point 1 to point 2?
- How come the Kinetic Energy is constant between points 1 and 2?
- How come the total energy stays constant between point 2 and 3?
- At what point in the graph do you notice there is a mistake? Look for something that is physically impossible, describe what you see and explain how you know that it is wrong.

Please provide explanations for each question.

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1) TE = KE + PE. From point 1 to 2, potential energy is increasing but as said in the question kinetic energy is constant(constant low speed). Therefore, total energy is increasing as potentia energy is increasing.   2) TE = KE + PE. Total energy is greater than potential energy as there is also some kinetic energy present (constant speed).  3) KE = 0.5 * m *v2 and given that from point 1 to 2, speed is constant. Therefore, KE is constant. 4) TE = KE + PE. From point 2 to 3, there are no restrictions. Which means both kinetic and potential enrgies can change naturally under the influence of gravity.  So, from 2 to 3 potemtial energy decreses as movind downwards and kinetic increases under the influence of gravitational acceleration. They both changes such that their sum remains constant. It is natural law that total energy remains constant if their is no external influences or restrictions except gravity.   5) At point 3 in the graph, PE = 0, but PE can never be zero. also, sum of KE and PE should be TE. So, if PE = 0 then KE = TE, which is not the case.   ...