Need help with a question on Newtons Law's of Motion.

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To find the tension in the elevator cable, consider the forces acting on the elevator: the downward gravitational force and the upward tension. The total mass of the elevator and passengers is 800 kg, and the elevator accelerates upward at 1.0 m/s². Using Newton's second law (F = ma), the equation T - 800g = 800a can be set up, where g is the acceleration due to gravity. It's important to focus on the method of solving the problem rather than providing direct numerical answers to encourage learning.
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An elevator is moving upward with an acceleration of 1.0 m/s2. The total mass of the elevator and the passengers is 800kg. I need to find the tension in the elevator cable assuming g=32ft/s2. Need help, beginner in physics. Thanks!
 
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Draw a free body diagram of the elevator and figure out the magnitude of the total force, applied by the cable, that is required to make it accelerate upwards at 1 m/s. That's the tension in the cable.

- Warren
 
nelone said:
An elevator is moving upward with an acceleration of 1.0 m/s2. The total mass of the elevator and the passengers is 800kg. I need to find the tension in the elevator cable assuming g=32ft/s2. Need help, beginner in physics. Thanks!

Forces acting downwards are : Gravity (800g)
Forces acting upwards are : Tension.

Resolving forces and acceleration:
F = ma
T - 800G = 800x1
T = 800 + 800G

I never ever work in feet and can't believe they've given it to you in the form ft/s^2, is this an age old textbook or something? Personally i don't know the feet to m conversion but if gravity is 9.8m/s/s.
T = 8640N
 
Thank you very much
 
KnowledgeIsPower:

Please refrain from giving actual numerical answers to homework problems. It is much more constructive pedagogically to explain the method for solving the problem, but leave the actual numerical solution to the student.

- Warren
 
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