One of the fastest elevators in the world is found in the...

One of the fastest elevators in the world is found in the Taipei 101 building. It ascends at $16.83 \mathrm{~m} / \mathrm{s}$ and rises $382.2 \mathrm{~m}$. Each elevator has a maximum load capacity of $1600 \mathrm{~kg}$. What power is required to raise a maximum load from the lowest level to the top floor? Example $6-14$

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Key Concepts

Gravitational Potential Energy

This concept involves the energy an object possesses due to its position in a gravitational field, calculated using the formula PE = mgh, where m is mass, g is the acceleration due to gravity, and h is the height raised. It represents the work needed to elevate a load against the force of gravity.

Power Calculation

Power is the measure of the rate at which work is done or energy is transferred over time. In the context of lifting an elevator load, once the gravitational potential energy is determined, dividing that energy by the time taken to lift the load provides the power required for the operation.

Kinematics of Uniform Motion

This concept relates to the use of constant velocity to determine the time taken for a displacement. When an elevator ascends uniformly, knowing its speed and the distance traveled allows calculation of the time interval over which energy is applied, thereby connecting the concepts of motion, energy, and power.

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