Solving for Tension in Elevator Cable: 2300 kg, 50 m, 12 m/s

AI Thread Summary
To solve for the tension in the elevator cable, first calculate the acceleration needed to bring the elevator to rest over a distance of 50 meters. Using the formula for acceleration, determine the value based on the initial velocity of 12 m/s and the stopping distance. Once the acceleration is found, apply Newton's second law to calculate the net force acting on the elevator, which includes both the gravitational force and the tension in the cable. The final tension in the cable can then be derived from these calculations. Understanding both the mathematical and physical components is crucial for solving the problem effectively.
tjbateh
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Homework Statement


An elevator and its load have a combined mass of 2300 kg. Find the tension in the supporting cable when the elevator, originally moving downward at 12 m/s, is brought to rest with constant acceleration in a distance of 50 m.


Homework Equations





The Attempt at a Solution


Any idea how to approach this problem?
 
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Hi tjbateh! :wink:

This question is in two parts, a maths part and a physics part.

The maths is to find the acceleration.

The physics is then to find the force.

What is the acceleration? :smile:​
 
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