Force & Potential Energy
10. Conservation of Energy / Force & Potential Energy / Problem 1
Imagine a ball rolling along a horizontal track under the influence of potential energy given by U(x) = Ax2 + Bcos((π/2L)x), where A, B, and L are constants. Determine the magnitude and direction of the force acting on the ball when it reaches (i) the starting point ( x = 0), (ii) the midpoint of the track (x = L/2), and (iii) the end of the track (x = L).
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