A 250g glider moves frictionlessly on a horizontal air track. It completes 10 full oscillations in 4.00s and has a maximum displacement of 4.0cm from equilibrium. When the displacement of the glider is exactly one-third of its amplitude, answer the following.
a. (a) Calculate the angular frequency of the motion.
b. (b) Find the kinetic energy of the glider at this instant.
c. (c) Determine the potential energy of the glider at the same instant.
d. (d) Compute the speed of the glider at this displacement.