How Is the Elevator's Acceleration Calculated Using Newton's Second Law?

AI Thread Summary
To calculate the elevator's acceleration using Newton's Second Law, first determine the gravitational force (Fge) acting on the elevator, which is found using the equation Fg = mg, resulting in 9800 N for a 1000 kg elevator. The net force (FNET) acting on the elevator is the sum of the upward forces from the cables (12000 N) minus the gravitational force (9800 N). Using the formula FNET = ma, the equation becomes 12000 N - 9800 N = 1000a. Solving for acceleration gives a result of 2.2 m/s². The calculations confirm that the elevator accelerates upwards at this rate.
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Homework Statement



A 1000 kg elevator is held up by two cables. If each able exerts a force of 6000N upwards upon the elevator, find the elevator's acceleration.

Homework Equations



Fg=mg

FNET=ma

The Attempt at a Solution



I started with a force diagram to help me and then I think I'm supposed to use the FNET=ma formula. So I plugged in the variables as follows: (6000+6000)-Fge=1000a
How do you solve for acceleration in this problem when I also need to find the Force that gravity exerts on the elevator (Fge)?

Would the answer be 2.2m/s^2?
 
Last edited:
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Fge would simply be the weight, mg, of the elevator.
 
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