A light spring obeys Hooke's law. The spring's unstretched length is 34.0 cm. One end of the spring is attached to the top of a doorframe and a weight with mass 8.25 kg is hung from the other end. The final length of the spring is 45.5 cm. (a) Find its spring constant (in N/m). 703.4 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 130 N. Find the length (in m) of the spring in this situation. X Consider the end of the spring on the right, which exerts a force to the left equal to 130 N. Use F = -kx and your result from part (a), and solve for x. 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 130 N? X If a person exerts a force F at one end of the spring, given the spring is not accelerating, what must be the force that the doorframe exerts on the spring at the other end? Can you make an analogy to the situation in part (b)? m