A 2.00 kg block on a horizontal, frictionless surface is attached to a spring whose force constant is 590 N/m. The block is pulled from its equilibrium position at x = 0 m to a displacement position, x = -0.120 m, then released from rest at t = 0 s. As a result, the block oscillates with simple harmonic motion along a horizontal x-axis. (a) What is the frequency of the resulting motion? (b)Write an equation for the position of the block as a function of time (only). (c)Write an equation for the velocity of the block as a function of time (only). (d)What is the maximum acceleration the block experiences during its motion and at what position(s) does this occur? (e)You move the same oscillator to a surface with friction. With the same initial conditions, it takes 22 oscillations for the amplitude to decay to 1/2 of the original value. What is the time constant, τ, for this oscillation?