Question

A woman stands on a scale in a moving elevator. Her massis

60.0 kg and the combined mass of the elevator and scale is
anadditional 815 kg. Starting from rest, the elevatoraccelerates
upward. During the acceleration, there is tensionof 9410 N in the
hoisting cable. What does the scale readduring the
acceleration?

Answer 1

Step-by-step explanation:

Combined mass = 815 + 60 = 875 kg

Net weight acting downwards

= 875 x 9.8

= 8575 N

Tension in the string acting upwards

= 9410

Net upward force = 9410 - 8575

= 835 N

Acceleration

Force / mass

a = 835 / 875

a = .954 ms⁻²

Since the elevator is going up with acceleration a

Total reaction force on the woman from the ground

= m ( g + a )

60 ( 9.8 + .954)

= 645.25 N.

Reading of scale = 645.25 N