Title: Conservation of Energy Lab: Pendulum Swing
Objective: To demonstrate the principle of conservation of energy by observing the transformation of potential energy to kinetic energy in a pendulum swing.
Materials: 1. A string or thin rope (approximately 1 meter long) 2. A small weight (such as a metal washer or a small ball) 3. A stopwatch or timer 4. A ruler or measuring tape 5. A protractor or angle measuring tool 6. Safety goggles
Procedure: 1. Set up the experiment by attaching one end of the string to a fixed point (e.g., a sturdy hook or clamp) at a height of approximately 1 meter from the ground. 2. Tie the small weight to the other end of the string securely. 3. Put on safety goggles to protect your eyes during the experiment. 4. Pull the weight to one side, creating an angle of approximately 45 degrees with the vertical. 5. Release the weight and start the stopwatch simultaneously. 6. Observe and measure the time it takes for the weight to complete one full swing (from one side to the other and back). 7. Repeat step 6 three times and calculate the average time for one swing. 8. Measure the height of the weight at the highest point of its swing using a ruler or measuring tape. 9. Calculate the potential energy (PE) of the weight at the highest point using the formula PE = mgh, where m is the mass of the weight, g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the height of the weight. 10. Calculate the kinetic energy (KE) of the weight at the lowest point of its swing using the formula KE = 0.5mv², where m is the mass of the weight and v is the velocity of the weight at the lowest point. 11. Compare the potential energy (PE) at the highest point with the kinetic energy (KE) at the lowest point. Discuss how they are related and if they are conserved.
Results and Analysis: 1. Record the average time for one swing, the height of the weight at the highest point, the potential energy (PE), and the kinetic energy (KE). 2. Calculate the percentage difference between the potential energy (PE) and the kinetic energy (KE) using the formula: % Difference = |(PE - KE) / PE| * 100. 3. Analyze the results and discuss whether the potential energy is conserved and transformed into kinetic energy during the pendulum swing. 4. Explain any sources of error or limitations in the experiment.
Conclusion: In this lab, we demonstrated the conservation of energy by observing the transformation of potential energy to kinetic energy in a pendulum swing. The potential energy at the highest point was calculated using the weight’s mass, height, and acceleration due to gravity. The kinetic energy at the lowest point was calculated using the weight’s mass and velocity. By comparing the potential and kinetic energies, we observed that energy was conserved during the pendulum swing. The percentage difference between the potential and kinetic energies can be used to evaluate the accuracy of the conservation of energy principle in this experiment.
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