A mass is fixed to a spring and slides along a surface without friction. The mass is 0,50 kg and the spring constant is k = 40 N/m. We pull the mass to the right, 8,0 cm from the point of equilibrium, and then release it.

a) What will be the period (T) of the oscillation?

b) What is the maximum acceleration of the mass?

c) What is the velocity of the mass, when x = -3,0 cm?

d) Draw a graph showing the displacement of the mass as a funcion of time, for seceral oscillations (six og seven will do).

e) Now we add a damping force to the system, of the form FD = -b·v. The damping constant b has a value of 5,0 kg/s. What will be the period (T´) of the damped oscillations?

f) If we use the same initial displacement of A0 = 8,0 cm, then how long will it take before the amplitude of the displacement has dropped to 2,0 cm?

g) Draw a graph showing the displacement of the mass as a function of time, using the same scale for both axes as in the previous graph (in d).