(a) A hanging spring stretches by 35.0 cm when an object of mass 450 g is hung o

ID: 2112885 • Letter: #

Question

(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 5 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? (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 5 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?

w=[m/k]^[1/2]
T=1/w
x=-18.2sin[wt]

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