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Develop the simplest form of the work-energy theorem and conservation of energy. The potential energy as related to Fx.
10 Sep For a force that is a function of position only, the potential energy is related to the force component by Fx = - dV / dx. You can use this to solve for the position as a function of time. Once you have the conservation of energy equation, relating x and vx, you can apply the method of separation of variables. This technique works if you can manipulate all the x's to one side of the equation and all the t's to the other. I worked out the example of throwing an object straight up in a uniform gravitational field. This eventually led to an equation for x( t ). (Not the easiest way to sove this problem.)
Graphical interpretation of the potential energy, and how you can use it to gain qualitativeinsight into the motion of a mass.