A block of mass m = 2.0 kg attached to a spring with spring constant k on a frictionless surface. The block is pushed to the left to position x = -0.5 m and, at time t = 0, it is released from rest and starts oscillating with a period of 2.0 s.
(a) Which of the following equations describes the position (in units of meter) as a function of time?
[1] x(t) = -0.5 cos(pt) [2] x(t) = 0.5 sin(pt) [3] x(t) = 0.5 cos(2t)
[4] x(t) = -0.5 sin(2pt) [5] none of these
(b) What is the maximum speed of the block?
[1] vmax = (p2/4) m/s [2] vmax = (p/2) m/s [3] vmax = 2 m/s
[4] vmax = 2p2 m/s [5] none of these
(c) What is the spring constant of the spring?
[1] k = (p2/4) N/m [2] k = (p/2) N/m [3] k = 2 N/m
[4] k = 2p2 N/m [5] none of these
(d) What is the total energy of the system?
[1] E = (p2/4) J [2] E = (p/2) J [3] E = 2 J
[4] E = 2p2 J [5] none of these