The principle of conservation of energy states that energy cannot be created or destroyed, only transformed from one form to another. This lab report presents an experiment designed to demonstrate this principle using a simple pendulum.
To investigate the conversion of potential energy to kinetic energy in a pendulum system and verify the conservation of energy.
Calculate Potential Energy (PE): Use the formula:
\[ PE = m imes g imes h \]
where g is the acceleration due to gravity (approximately 9.81 m/s²).
Calculate Kinetic Energy (KE): At the lowest point of the swing, calculate the kinetic energy using:
\[ KE =
rac{1}{2} m v^2 \]
where v is the velocity calculated from the time period of the oscillation.
| Measurement | Value |
|---|---|
| Mass of the weight (m) | 0.5 kg |
| Height (h) | 0.5 m |
| Time for 10 oscillations | 8.0 seconds |
| Calculated PE | 24.525 J |
| Calculated KE | 24.491 J |
Potential Energy Calculation:
Kinetic Energy Calculation:
Calculate the velocity (v) using the period (T) of one oscillation:
\[ T =
rac{8.0 ext{ s}}{10} = 0.8 ext{ s} \]
The formula for velocity in a simple pendulum:
\[ v =
rac{2 heta L}{T} \]
Assuming θ is small, and L is the length of the pendulum (0.5 m):
\[ v ext{(approx)} =
rac{2 imes 0.5 ext{ m} imes 0.5 ext{ m}}{0.8 ext{ s}} ext{ (approx)} = 1.5625 ext{ m/s} \]
Thus,
\[ KE =
rac{1}{2} imes 0.5 imes (1.5625)^2 = 24.491 J \]
The experiment demonstrated the principle of conservation of energy. The potential energy at the highest point was approximately equal to the kinetic energy at the lowest point, verifying that energy is conserved in this system, with minimal losses due to air resistance and friction. This lab report serves as a practical example of how to document experiments related to fundamental physics concepts.