Question

A particle with a mass of .500kg is attached to a horizontal spring with a force constant of 50.0N/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. (b) Where in the motion is the potential energy three times the kinetic energy? (c) FInd the minimum time interval required for the particle to move from x = 0 to x = 1.00m (d) Find the length of a simple pendulum with the same period.