Physics

We can solve this using the conservation of mechanical energy. The pendulum starts with potential energy and converts it into kinetic energy as it swings to the lowest point.

 

1. Initial Potential Energy (at the highest point):

The pendulum starts from rest, so its initial kinetic energy is zero. The initial potential energy is given by:

where:

(mass of the pendulum),

(acceleration due to gravity),

(height from which the pendulum swings).

 

Thus, the initial potential energy is:

 

2. Final Kinetic Energy (at the lowest point):

At the lowest point of the swing, all the potential energy is converted into kinetic energy. The kinetic energy at the lowest point is:

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