A mass of 0.540 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.620 m)cos[(10.0 rad/s)t]. Determine the following.
(a) Amplitude of oscillation for the oscillating mass
(b) Force constant for the spring
(c) Position of the mass after it has been oscillating for one half a period
(d) Position of the mass two-thirds of a period after it has been released
(e) Time it takes the mass to get to the position x = -0.500 m after it has been released