Elevator's Maximum Capacity

Classical Mechanics Level 2

An empty elevator carriage weighs \(500 \text{ kg}\), and the counterweight weighs \(2500 \text{ kg}\) and is powered by a motor that can pull with equal strength in either direction.

What is the greatest amount of weight (in \(\text{kg}\)) that we are sure can be added to the carriage without breaking the motor?

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