a 1.00 kg pendulum bob is released from a height of .200m. its speed at the bottom of its swing is 1.95m/s on the first pass. how much energy is lost due to friction during one complete swing?
To calculate the energy lost due to friction during one complete swing of the pendulum, we need to compare the mechanical energy at the start (the potential energy) to the mechanical energy at the bottom of the swing (the sum of kinetic and potential energy).
1. Calculate the potential energy at the start:
Potential Energy = mass * acceleration due to gravity * height
Potential Energy = 1.00 kg * 9.8 m/s² * 0.200 m
2. Calculate the kinetic energy at the bottom:
Kinetic Energy = 0.5 * mass * velocity^2
Kinetic Energy = 0.5 * 1.00 kg * (1.95 m/s)^2
3. Calculate the energy lost due to friction:
Energy Lost = Potential Energy - Kinetic Energy
Let's calculate it:
Potential Energy = 1.00 kg * 9.8 m/s² * 0.200 m = 1.96 J
Kinetic Energy = 0.5 * 1.00 kg * (1.95 m/s)^2 = 1.89 J
Energy Lost = 1.96 J - 1.89 J = 0.07 J
Therefore, the energy lost due to friction during one complete swing of the pendulum is 0.07 J.