Calculate Forces on Elevator: Tension, Mass & Velocity

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    Elevator Tension
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SUMMARY

The discussion focuses on calculating the forces acting on a stationary elevator and its contents, which have a combined mass of 3000 kg. When at rest, the gravitational force (F_g) is 29400 N downward, balanced by the tension (F_T) in the cable, also 29400 N upward. When ascending at a speed of 3.0 m/s with a downward acceleration of 3.0 m/s², the tension in the cable is calculated to be 20400 N upward, while the gravitational force remains 29400 N downward. The calculations utilize Newton's second law (F=ma) to derive the forces acting on the elevator in different scenarios.

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A stationary elevator and its contents have a combined mass of 3000Kg. The elevator is suspended by a single cable. (Assume three significant digits.)
Draw a free-body diagram of the elevator and calculate the values of all the forces that are acting on it when at rest.
If the elevator is ascending at a speed of 3.0 m/s, what are the values of the forces acting at this point?
If the elevator is descending at 3.0 m/s2, what are the values of all the forces acting at this point?

For a i did---F_g=mg = 3000*9.8=29400N (Down)
F_g=〖-F〗_T
F_T=29400 N (Up)

For c i did---Net Force downwards=mg-T
downward acceleration= Net force/m= (mg-T)/m
a = g-T/m
T= (g-a)m
= (9.8-3)3000= 20400N(Up)
Net Force acting upwards= mg= 3000*9.8= 29400N(Down)

how to do part b?what equation should i use?
 
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While the elevator is ascending, it's acceleration (i'm assuming) is constant, which means that the force is not changing. F=ma
For part b, just substitute in -3.0m/s^2 for the a, and you have your F
 
so tht means tension will b 9000N (up) and F_g will me 29400N (down)? also is the rest of the solution (including direction) right?
 

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