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Created for Albert.io. Copyright 2017. All right reserved.

A $1.0\text{ kg}$ box resting on a frictionless surface is attached to a horizontal spring which is attached to a wall. The mass is then pulled back and released from rest. The graph above shows data collected with a motion detector for the box’s velocity at various moments in time after it has been oscillating.

Which of the following most closely approximates the spring constant ($k$) of the spring?

A

$30.8\text{ N/m}$

B

$7.7\text{ N/m}$

C

$0.065\text{ N/m}$

D

$15.4\text{ N/m}$

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