An object with a mass of 0.527kg is attached to a long horizontal spring with a constant of 52.6kg/s2. For a moment when t = 0, the object has a maximum speed of 21.3m/s.
(a) What is the amplitude of oscillation?
(b) For the center defined as x = 0, where in the motion is the potential energy three times the kinetic energy (take the positive x value for the input)?
(c) How long does it take the the particle to move from -0.500m to 0.500m?
(d) At small angles with the same object, what length is required for a pendulum to have the same period?