A block of 0.130 kg is hanged from a spring. If a small pebble of mass 32 g is positioned on the block, the spring stretches an additional 6.4 cm. With the pebble on the block, the block oscillates with amplitude of 13.0 cm. (Suppose that the pebble is glued to the block.)
(i) Determine the frequency of the motion?
(ii) Determine how long does the block take to travel from its lowest point to its maximum point?
(iii) Determine the total force on the pebble if it is at a point of maximum upward displacement?