Answer:
The reading on the scale is 96.31 N.
Explanation:
When the elevator comes to a stop the speed decreases from 4 m/s to 0 m/s.
This means that it incurs deceleration. We can use the formula below to find out the force that is applied on the person during this deceleration:
F = mass * acceleration
Assuming the deceleration is constant, we have the following equation:
V = U + at
Where V = Final speed = 0
U = initial speed = 4
a = acceleration
t = time
Solving, we get:
0 = 4 + 2a
a = -2 m/s^2
Thus the object decelerates at 2 m/s^2
The mass of the person = 80 / 9.81 = 8.155 kg
F = 8.155 * 2
F = 16.31 N
Total weight = 80 + 16.31 = 96.31 N (This is the reading on the scale)
