A 150 g mass attached to a spring with a force constant of 45.0 N/m vibrates on a horizontal, frictionless surface in simple harmonic motion with amplitude of 5.00centimeter.
a. Evaluate the period of the oscillation.
b. Evaluate the total energy of the system.
c. Evaluate the speed of the mass when it is at position x=2.00cm.
d. Evaluate the maximum speed and acceleration of the mass.
e. If at t=0, x=0 and if the mass has a positive velocity at t=0 write the equation describing the position x of the mass as a function of time, and find the time it takes for the mass to first arrive at the position x=2.00cm.