In which direction and with what acceleration does the elevator move, if a person weighing

In which direction and with what acceleration does the elevator move, if a person weighing 54 kg weighs 385 Newtons in it.

Given:

m = 54 kilograms – the mass of a person;

P = 385 Newton – the weight of a person in a moving elevator;

g = 10 N / kg – acceleration of gravity.

It is required to determine the direction and value of the acceleration of the elevator a (m / s ^ 2).

If a person stood motionless on Earth, then his weight would be:

P1 = m * g = 54 * 10 = 540 Newton.

Since the weight of a person in a moving elevator is less than the weight of a person in a stationary state (385 <540), it means that the elevator moves down. Find the acceleration of the elevator:

P = m * g – m * a;

m * a = m * g – P;

a = (m * g – P) / m = g – P / m = 10 – 385/54 = 10 – 7.1 = 2.9 m / s ^ 2.

Answer: the lift moves downward with an acceleration of 2.9 m / s ^ 2.