Suppose a pendulum starts with a potential energy of 100 J. Assuming the pendulum has a height of 0 m at the bottom of its swing, what is the maximum kinetic energy?

Respuesta :

Answer:

The maximum kinetic energy is 100 Joules

Explanation:

Considering the pendulum as an isolated system, the kinematic energy will be conserved. The kinematic energy = (potential energy) + (kinetic energy). We know that it starts at rest (i.e., with kinetic energy being 0) with 100 Joules worth of potential energy. We also know that when the pendulum crosses the bottom point at 0m it has potential energy of 0 J implying its kinetic energy is 100 J, which is its maximum.  

At the bottom of the swing, the potential energy of the pendulum will be zero and the kinetic energy will be maximum with a value of 100 J.

In the oscillation of a simple pendulum, the mechanical energy is always conserved. That is the potential energy of the pendulum at the maximum height will be converted to maximum kinetic energy when the pendulum is at zero height.

The given maximum potential energy of the pendulum is 100 J.

M.A = P.E + K.E

at maximum height, the velocity is zero

M.A = P.E = 100 J

at zero height, the velocity is maximum

M.A = K.E = 100 J

Thus, at the bottom of the swing, the potential energy of the pendulum will be zero and the kinetic energy will be maximum with a value of 100 J.

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