6: F 1/31, 8: F 1/31Today, we'll do a lab where we investigate how work and energy are related. You'll observe how energy transformations occur in a simple pendulum. You'll learn to use a Vernier photogate timer to find the velocity of the pendulum. Here's the setup: Raise the pendulum mass to a height above its lowest (equilibrium) position. Release and measure the velocity as it passes through its lowest position. Repeat for at least 6 different release heights. Graph velocity (m/s) vs. release height (m). Find the mathematical relationship between velocity and release height, linearizing the graph if necessary. Answer the following analysis questions in your lab notebooks: - How much work do you do in raising the the pendulum mass?
- What forces are on the pendulum as it swings down to equilibrium position? (Draw a free body diagram.) How much work does each of the forces do?
- Write a sentence or two about how mechanical energy is transformed from one form to another.
- Describe the shape of the velocity vs. height graph. What does this say about the relationship between velocity and release height.
- What is the theoretical value of the coefficient in your equation? How does it compare with your experimentally found coefficient?
- What assumptions did you make in your experiment? How would these assumptions affect your coefficient that you found in your mathematical relationship?
- What is the role of the mass of the pendulum in your equation? Would a better determination of the value of this mass improve the accuracy or precision of this experiment?
Homework: If you have not finished the analysis for the Pendulum Lab, please finish it for homework. Lab quiz next Thursday, February 6th. |

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