Question

A person is standing on a spring bathroom scale on the floor of an elevator which is moving up and slowing down at the rate of 3 m/s 2 . The acceleration of gravity is 9.8 m/s 2 . If the person’s mass is 93.3 kg, what does the scale read? Answer in units of n.

Answer 1

`F_N=1194.24\ N`

Step-by-step explanation:

Given that,

The elevator is moving up and slowing down at the rate of,
`a=3\ m/s^2`

The acceleration due to gravity,
`g=9.8\ m/s^2`

Mass of the person, m = 93.3 kg

To find,

The reading of the scale.

Solution,

As the elevator is moving down with some acceleration. The net force acting on it is given by :

`F_N=ma+mg`

`F_N=m(a+g)`

`F_N=93.3(3+9.8)`

`F_N=1194.24\ N`

So, the scale will read 1194.24 N.