Physics Lab Hooke’s Law A. Introduction: Hooke’s Law Consider a spring with one end fixed: http://www.upscale.utoronto.ca/ When no force acts to stretch or compress it, it has its equilibrium length x0. To stretch it or compress it requires applying a force to the end: The strength of the force needed depends on two factors: One is the “stiffness” of the spring, characterized the spring constant ‘k’. This is different for different springs. So, force depends on ‘k’. The second and less obvious factor is this: the more the spring is stretched, the greater the force needed to stretch it. In fact, F = kx, This is Hooke’s law. B. Objective : determine the spring constant ‘k’ of a spring. C. Procedure: 1. You must stretch the spring to four different displacements using the masses provided. 2. Measure x in SI units for each applied force. 3. Make a graph of F vs x, so that the slope will be ‘k’, and determine the spring constant of your spring 4. Repeat for your other elastic object. D. Data: all measured and calculated values: Force, x, k D. Discussion Questions 1) What are the units of ‘k’? 2) Theoretically, is there a minimum (non-zero) force required to start the stretch of the spring? What does this value correspond to on your graph of Force vs. x? 3) Which of your objects required more work to stretch to the same length? 4) How does a spring scale work? How do you think it is determined what numbers to put on the side? Physics Lab Pendulum A. Objective: Determine the effect of mass and length on the period of a pendulum. Period – Mass – Length – B. Design a procedure to evaluate the effect of increasing mass Design a procedure to evaluate the effect of increasing length C. Data Effect of mass – constant length Trial mass period max amplitude max PE Effect of length – constant mass Trial length period max amplitude max PE D. Discussion 1. What is the effect of increasing mass on period of the pendulum? Use your data to support your answer. 2. Is the total mechanical energy of the system affected by increasing the mass? 3. Is more/less/the same work required to place each pendulum into motion in the mass experiment? Support your answer with a formula. 4. Describe where the pendulum is moving the fastest. Is the speed of the pendulum affected by the increasing mass? Support your answer. 5. What is the effect of increasing length on the period of the pendulum? Use your data to support your answer. 6. Is the total mechanical energy of the system altered as the length of the pendulum is increased? Does it require more/less/the same amount of work to place each pendulum into motion? Support your answers with formulas.