5 (5 points) In physics, Hooke's Law describes the behaviour of springs. It states that the force F (in units of Newtons, N} needed to compress or extend a spring by some distance :1: {in units of metres, m} is proportional to that distance, that is. F : k:1:, where the constant k {in units of N/m} is called the spring constant. Force can be related to motion by Newton's Second Law, which states that F = M a, where M {in units of kilograms, kg) is the mass of the object, and a. (in units of metres per second squared, mfg?) is its acceleration. Consider an 1 kg object attached on one end by a spring to a wall, and suppose that a 1 kg object attached to the other end is undergoing an oscillation motion described in terms of its displacement, denoted 22(t), (in metres}, as: m(t) = 4 cos (2t), where time t is in units of seconds. Recall that acceleration a(t) is the second derivative of displacement Mt). Determine the spring constant k of the spring