Question

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.

Answer 1

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

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

$m = \frac{8100}{15 X 9.8} \\\\m = \frac{8100}{147} \\\\m = 55.1kg$

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