In: Physics
This is a long question that needs to be fully done on paper, scanned and uploaded. Also type in the answer of (a) in the space provided.
A spring is mounted over an air track in such a way that the one end of the spring is fixed and the other is connected to a spring scale. When the spring is stretched to 0.01 m a force of 1 N is registered on the spring scale. The spring is relaxed and a glider of 0.43 kg (resting on the air track) is connected to it. The glider-spring system is then pulled to the right through a distance of 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-glider system, if the initial velocity and position of the glider is 0.3 m/s and 0.72 m, respectively.
(e) Utilize all the information already calculated and set up equations for the displacement, velocity and acceleration as function of time.