A 1.00 kg pendulum bob is released from a height of 0.200 m. Its speed at the bottom of its swing is 1.95 m/s on the first pass. How much energy is lost due to friction during one complete swing of the pendulum?

I get Ep=mgh 0.2*9.8*1 =1.96

then i get Ek=1/2mv^2 1/2*1*1.95^2 = 1.90125

then i minus these 2 but get the wrong answer what are the correct steps?

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To calculate the energy lost due to friction during one complete swing of the pendulum, you need to find the total mechanical energy at the top and bottom of the swing and then take the difference.

Here are the correct steps:

1. Calculate the potential energy (Ep) at the top of the swing using the formula Ep = mgh, where m is the mass (1.00 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the height (0.200 m).
Ep = 1.00 kg * 9.8 m/s² * 0.200 m
Ep = 1.96 J

2. Calculate the kinetic energy (Ek) at the bottom of the swing using the formula Ek = 1/2mv², where v is the speed at the bottom of the swing (1.95 m/s).
Ek = 1/2 * 1.00 kg * (1.95 m/s)²
Ek = 1.90125 J

3. Calculate the energy lost due to friction by taking the difference between the potential energy at the top and the kinetic energy at the bottom.
Energy lost = Ep - Ek
Energy lost = 1.96 J - 1.90125 J
Energy lost = 0.05875 J

Therefore, the energy lost due to friction during one complete swing of the pendulum is approximately 0.059 J.