A particle with a mass of 0.500 kg is attached to a horizontal spring with a force constant of 50.0 N/m. At the moment t = 0, the particle has its maximum speed of 20.0 m/s and is moving to the left. (a) Determine the particle's equation of motion, specifying its position as a function of time. [Select] (b) Where in the motion is the potential energy three times the kinetic energy? [Select] (c) Find the minimum time interval required for the particle to move from x = 0 to x = 1.00 m. [Select] (d) Find the length of a simple pendulum with the same period. [Select] V

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The p…