An elevator does 81, 00 elevator J work to lift group of people 15 meters up to the 4th floor of a building. Determine the combined mass of the people in the elevator.

Question

asked Jun 1, 2021 61.5k views

1 Answer

Tinmarino · Answer 1 · 2021-06-06T12:18:28+0000

The combined mass of the people in the elevator is 55.1kg

Step-by-step explanation:

Given-

Work done by the elevator, W = 8100J

Height, h = 15m

Combined mass of the people, m = ?

We know,

acceleration due to gravity, g = 9.8m/s²

Work done = potential energy of the elevator

W = mgh

8100J = m X 9.8 X 15

$m = (8100)/(15 X 9.8) \\\\m = (8100)/(147) \\\\m = 55.1kg$

Therefore, combined mass of the people in the elevator is 55.1kg