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    • https://phys.libretexts.org/Courses/Merrimack_College/Conservation_Laws_Newton's_Laws_and_Kinematics_version_2.0/09%3A_C9)_Potential_Energy-_Graphs_and_Springs/9.04%3A_Advanced_Application-_Springs_and_Collisions
      At first sight, it may seem that all the information necessary to “reconstruct” the function \(U(x_1−x_2)\) is available already, at least in graphical form: From Figure 4.3.1 you could get the value ...At first sight, it may seem that all the information necessary to “reconstruct” the function \(U(x_1−x_2)\) is available already, at least in graphical form: From Figure 4.3.1 you could get the value of \(x_2 − x_1\) at any time \(t\); then from Figure 8.5.1 you can get the value of \(K\) (in the elastic-collision scenario) for the same value of \(t\); and then you could plot \(U = E − K\) (where \(E\) is the total energy) as a function of \(x_2 − x_1\).

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