A mass m = 4.4 kilogram is attached to a vertical spring with k = 220N/m and is set into motion.
(a) Evaluate the frequency of the oscillation?
Hz
(b) If the amplitude of the oscillation is 3.6 centimeter, find what is the maximum value of the velocity?
m/s
(c) Compute 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, find what is the amplitude?
m
(e) If the spring constant is increased by a factor of two and the maximum KE of the mass is the same, compute by what factor does the amplitude change?
% of the original amplitude