Question

A 5 kg mass is attached to the ceiling of an elevator by a rope whose mass is negligible. What is the tension in the rope when the elevator accelerates upward at 4 m/s2?

Answer 1

Step-by-step explanation:

Given

mass of object
`m=5\ kg`

Object is attached to the ceiling of an elevator by a rope

Suppose T is the Tension in the rope so

acceleration of the elevator
`a=4\ m/s^2` (upward)

From Free Body diagram we can write as

`T-mg=ma`

`T=m(g+a)`

`T=5(9.8+4)`

`T=69\ N`