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 40.0 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 190 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 190 N? m

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 40.0 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 190 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 190 N?
m
Transcribed Image Text: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 40.0 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 190 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 190 N? m
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