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

Answer:

$2.4 m/s^2$

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.

$T=m(g+a)$

Where $g=9.8 m/s^2$

Substitute the values

$156=12.8(a+9.8)$

$9.8+a=\frac{156}{12.8}=12.2$

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

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

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