Consider a horizontal spring of spring constant 30 N/m. A 2 kg mass is attatched to the spring and pulled .05 m from the equilibrium position along a frictionless table. The mass is then released and undergoes simple harmonic motion: (please inclued detailed setups so I can better understand this problem)
a.) what is the period of oscillation after the release?
b.) what is the amplitude of the motion?
c.) what is the maximum speed of the vibrating mass?
d.) what is the maximum acceleration of the body?
e.) Compute the kinetic and potential energies of the system when the body has moved halfway from its initial position toward the center of motion?