Answer:
[tex]2.4 m/s^2[/tex]
Downward
Explanation:
We are given that
Mass of monkey=12.8 kg
Tension=156 N
We have to find the magnitude of the elevator's minimum acceleration.
[tex]T=m(g+a)[/tex]
Where [tex]g=9.8 m/s^2[/tex]
Substitute the values
[tex]156=12.8(a+9.8)[/tex]
[tex]9.8+a=\frac{156}{12.8}=12.2 [/tex]
[tex]a=12.2-9.8=2.4 m/s^2[/tex]
Hence, the acceleration =[tex]a=2.4 m/s^2[/tex]
Direction of the elevator's minimum acceleration is downward because the elevator moves downwards.
