Question

a 150kg monkey hangs from a cord suspended from the ceiling of an elevator. the cord can withstand a tension of 200N and breaks as the elevator accelerates. what was the elevators minimum acceleration (in magnitude and direction,​

Answer 1

The elevator moves up with an acceleration of 3.5 m/s²

Step-by-step explanation:

Given:

m = 15 kg (not 150!! :))

Tmax = 200 N

g = 9.8 m/s²

____________

a - ?

The elevator moves up with an acceleration a:

Tmax = m·(g + a)

g + a = Tmax / m

a = Tmax / m - g

a = 200 / 15 - 9.8 ≈ 3.5 m/s²