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University of Waterloo assignment 2-converted-1 (Elastic Potential Energy)

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Assessment 2 for Grading Task 1 (Elastic Potential Energy) 1. State Hooke’s Law both in words and equation form. According to Hooke’s Law, the force exerted on a spring as it is stretched or co ... mpressed is directly proportional to the amount it is displaced from its rest position. In equation form is: Fs = − k Δx Where: Fs = the restoring force (N) k = force constant (N/m) Δx = the displacement of the spring from its resting position (m) Hooke’s law can also be expressed as: F app = k Δx F app refers to the force exerted on the spring According to Newton’s third law, the force exerted by the spring would be opposite to the direction in which the spring was displaced. 2. Consider the concepts related to springs. Choose one of the following to answer: Compare and contrast a real spring and an ideal spring. Ideal spring: An ideal spring strictly obeys the Hooke’s law under any condition. It is a theoretical, non-existent spring. Real Spring: Real springs exist in day to day life. It obeys Hooke’s Law for a range of stretching/compression, but then stray from the pattern due to internal friction and structural limitations. 3. Spring A is harder to stretch than Spring B. Explain how the spring force constants of each spring would compare in this situation. We know that, the stiffer the spring is, the higher the force constant will be. As Spring A is harder to stretch than Spring B, spring A will have higher force constant than spring B. 4. Using the image below as an aid, describe the energy conversions a spring undergoes during simple harmonic motion as it moves from the point of maximum compression to maximum stretch in a frictionless environment. Be sure to indicate the points at which there will b [Show More]

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