A pendulum with a 1.0-kg weight is set in motion from a position 0.04 m above the lowest point on the path of the weight. What is the kinetic energy of the pendulum at the lowest point?

The kinetic energy of the pendulum at the lowest point is 0.393 joules.

Explanation:

Under the assumption that effects from non-conservative forces can be neglected, the maximum kinetic energy of the pendulum (lowest point) (), measured in joules, is equivalent to the maximum gravitational potential energy (highest point) (), measured in joules, by th Principle of Energy Conservation:

(1)

By the definition of potential gravitational energy and under the assumption that the height of the lowest point is zero, we conclude that the kinetic energy of the pendulum is:

(1b)

Where:

- Mass of the weight of the pendulum, measured in kilograms.

- Gravitational acceleration, measured in meters per square second.

- Height of the pendulum at highest point, measured in meters.

If we know that , and , then the kinetic energy of pendulum at the lowest point:

The kinetic energy of the pendulum at the lowest point is 0.393 joules.

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