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?

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