A light spring obeys Hooke's law. The spring's unstretched length is 31.5 cm. One end of the spring is attached to the top of a doorframe and a weight with mass 8.00 kg is hung from the other end. The final length of the spring is 43.5 cm.
(a)
Find its spring constant (in N/m).
N/m
(b)
The weight and the spring are taken down. Two people pull in opposite directions on the ends of the spring, each with a force of 160 N. Find the length (in m) of the spring in this situation.
m
(c)
What If? What would be the length (in m) of the spring if it were now attached to the vertical portion of the doorframe and stretched horizontally by a single person exerting a force of 160 N?
m
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