(a) a hanging spring stretches by 35.0 cm when an object of mass 450 g is hung on it at rest. in this situation, we define its position as x = 0. the object is pulled down an additional 18.0 cm and released from rest to oscillate without friction. what is its position x at a moment 84.4 s later? express your answer in cm.
(b) find the distance traveled by the vibrating object in part (a).
(c) what if? another hanging spring stretches by 35.5 cm when an object of mass 440 g is hung on it at rest. we define this new position as x = 0. this object is also pulled down an additional 18.0 cm and released from rest to oscillate without friction. find its position 84.4 s later.
(d) find the distance traveled by the object in part (c).
(e) why are the answers to parts (a) and (c) so different when the initial data in parts (a) and (c) are so similar and the answers to parts (b) and (d) are relatively close? does this circumstance reveal a fundamental difficulty in calculating the future?