The weight of the body on the scales fixed relative to the Earth is equal to 10N. What will be the weight of the body

The weight of the body on the scales fixed relative to the Earth is equal to 10N. What will be the weight of the body in an elevator ascending with an acceleration of 1m / s ^ 2, directed downward?

Given:

P1 = 10 Newton – weight of a body on the ground in a motionless state;

g = 10 m / s ^ 2 – acceleration of gravity;

a = 1 m / s ^ 2 – downward acceleration of the elevator.

It is required to determine the body weight in the elevator P2 (Newton).

Body weight is equal to:

m = P / g = 10/10 = 1 kilogram.

Since the acceleration of the elevator is directed downward, then:

m * g – m * a = P2

P2 = m * (g – a) = 1 * (10 -1) = 1 * 9 = 9 Newton.

Answer: the weight of the body in the elevator will be equal to 9 Newtons.