Problem 1 An electrically charged particle is held at rest at the point x=0, while a second particle with an equal charge is free to move along the positive x- axis. The potential energy of the system is as follows where C is a positive constant that depends on the magnitude of the charges. Derive an expression for the x-component of force acting on the movable charge, as a function of it position
Problem 2 A puck slides on a level, frictionless air-hockey table. The coordinates of the puck are x and y. It is acted on by a conservative force described by the potential-energy function that follows. Derive an expression for the force acting on the puck.