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

Answer:

$F_N=1194.24\ N$

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.