A spring is mounted over an air track in such a way that the oneend of the spring is fixed and the other is connected to a springscale. When the spring is stretched to 0.01 m a force of 1 N isregistered on the spring scale. The spring is relaxed and a gliderof 0.43 kg (resting on the air track) is connected to it. Theglider-spring system is then pulled to the right through a distanceof 0.01 m. Calculate the following:
(a) The spring constant k. (1 mark)
(b) The period of motion. (1 mark)
(c) The angular frequency. (1 mark)
(d) Calculate the amplitude and phase angle of the spring-glidersystem, if the initial velocity and position of the glider is 0.3m/s and 0.72 m, respectively.
(e) Utilize all the information already calculated and set upequations for the displacement, velocity and acceleration asfunction of time.