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5 Hooke's Law Introduction When a net force F is applied to a spring, it will stretch or compress the spring by a distance r. Hooke's Law defines this relationship as F = -kx where & is called the spring constant and is a measure of the stiffness of the spring. Pre-lab and Discussion Questions Pre-Lab Questions This part of the lab is to be completed prior to class. You MUST show it to your instructor upon arrival or else no credit will be given for this section. All springs have an inherent length when they are in equilibrium and we set this as x = 0. 1. Why do you think a force is generated when a spring is stretched or compressed? [2 pts] 2. How does the direction of the force change when a spring is compressed (x 0). Why is this force called a restoring force? [4 pts] 3. A spring is characterized by a constant k that measures its stiffness. How does the restoring force depend on k? [4 pts] Discussion Questions This part of the lab is to be completed with your group in class. 4. A force of 600 N compresses a spring by 0.5 m. What is the spring constant for this spring? [3 pts]5. A force of 40 N will stretch a spring by 0.1 m. How far will a force of 80 N stretch it? [3 pts] Hooke's Law can also be applied to a spring hanging vertically. Like a horizontal spring, we call the equilibrium point x = 0. original x =0 new x =0) 6. What new force should be taken into account for this situation? [4 pts] 7. Draw a free-body diagram and find an expression for the equilibrium position a. [5 pts] 8. Hooke's Law states that the distance a vertical spring stretches varies directly with the weight hanging from it. A spring stretches 35 cm when a 3 kg mass is hanging from it. What is the mass needed to stretch the spring 80 cm? [5 pts]