Application problem 1: Vibrating Springs Hooke's Law says that if a spring is stretched (or compressed) x units from its natural length, then it exerts a \"restoring\" force that is proportional to x: restoring force = kx where k is a positive constant (called the spring constant). If we ignore any external resisting forces (due to air resistance or friction) then, by Newton's Second Law (force equals mass times acceleration), we have: d2 mx = kx Determine x(t) for a weight of 3kg connected to a spring with a spring constant equal to 128Nim. The initial velocity is Omls. The spring is stretched 0.2m initially