The mathematical pendulum passes the equilibrium position at a speed of 2 m / s. Mass 100 g to what height does it rise

The mathematical pendulum passes the equilibrium position at a speed of 2 m / s. Mass 100 g to what height does it rise with the maximum deviation from the equilibrium position? What is its total vibration energy?

When passing the equilibrium position, the pendulum has a maximum kinetic energy equal to the total energy of the pendulum and equal to the maximum potential energy.
W = Kmax = m * v2 / 2 = Pmax = mgH
H = v2 / 2g = (2 m / s) 2 / (2 * 10 m / s2) = 4/20 = 0.2 m
W = 0.100 kg * (2 m / s) 2/2 = 0.2 J



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