forcenetup=ma
18kN-mg=ma
I don't know why you did not put in Mass in your Fgravity.
so i first drew a force diagram to find the total forces
F=m
Tension- Fgravity=ma
18000-9.8=1400a
a= 12.85 m/s
so now that I have found the acceleration of the elevator I need to help finding the its speed after 6m..I'm not sure how I would start doing that
18kN-mg=ma
I don't know why you did not put in Mass in your Fgravity.
v^2 = u^2 + 2as
Where:
v = final velocity
u = initial velocity (in this case, the elevator starts from rest so u = 0)
a = acceleration
s = displacement
Using the value of acceleration you calculated earlier (a = 12.85 m/s^2) and the given displacement (s = 6m), you can plug these values into the equation and solve for v:
v^2 = 0^2 + 2 * 12.85 * 6
v^2 = 0 + 154.2
v^2 = 154.2
Now, take the square root of both sides to find the final velocity:
v = √154.2
v ≈ 12.4 m/s
Therefore, the elevator's speed after moving 6m will be approximately 12.4 m/s.