A mass m = 4.4 kilogram is attached to a vertical spring with k = 202 N/m and is set into motion.
(a) Evaluate what is the frequency of the oscillation?
Hz
(b) If the amplitude of the oscillation is 3.3 centimeter, determine what is the maximum value of the velocity?
m/s
(c) Determine how long does it take the mass to move from y = 1.5 cm to y = 2.5 cm?
s
(d) If the mass is oscillating with a maximum speed of 45 m/s, determine what is the amplitude?
m
(e) If the spring constant is increased by a factor of two and the maximum kinetic energy of the mass is the same, determine by what factor does the amplitude change?
% of the original amplitude