Question

A 12.8-kg monkey hangs from a cord suspended from the ceiling of an elevator. The cord can withstand a tension of 156N and breaks as the elevator accelerates. What was the magnitude of the elevator's minimum acceleration? and What was the direction of the elevator's minimum acceleration?

Answer 1

`2.4 m/s^2`

Downward

Step-by-step 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.

`T=m(g+a)`

Where
`g=9.8 m/s^2`

Substitute the values

`156=12.8(a+9.8)`

`9.8+a=(156)/(12.8)=12.2`

`a=12.2-9.8=2.4 m/s^2`

Hence, the acceleration =
`a=2.4 m/s^2`

Direction of the elevator's minimum acceleration is downward because the elevator moves downwards.