Question

g A 8998 kg elevator is moving 4.4 m/s down. The tension in the elevator cable is 77,792.4 N. Determine the acceleration of the elevator (state the appropriate mks units). Also determine if the elevator is speeding up, slowing down, or maintaining a constant speed.

Answer 1

a= 1.15 m/s²; when coming down

a = 0 m/s² ; when maintaining a constant speed

Step-by-step explanation:

Assume the acceleration is positive in F = ma for all cases

But from the question we are told that the elevator is moving down (ma is negative since a is in the – negative direction)

∑ F = ma

T - mg = - ma because it is coming down

T = mg - ma

ma = mg - T

a =
`(mg - T)/(m)`

=
`(8998 ( 9.8) - 77792.4)/(8998)`

a= 1.15 m/s²

Answer 2

Answer: the acceleration is +1.1645m/s2

Since the answer is positive, the elevator is accelerating downwards

Step-by-step explanation:

Detailed explanation and calculation is shown in the image below