Question

A person weighing 504 Newtons enters an elevator and stands on a scale which reads his weight in Newtons. The elevator starts to accelerate upward at a rate of 8.53 m/s^2. What does the scale read while the elevator is accelerating upward? (Use g = 9.80 m/s^2)

Answer 1

942.68 N

Step-by-step explanation:

Weight of man = 504 N = W

a = Acceleration = 8.53 m/s²

g = Acceleration due to gravity = 9.80 m/s²

Mass of man

`m=(W)/(g)=(504)/(9.8)`

Weight shown when elevator is being accelerated

`W_n=ma+mg\\\Rightarrow W_n=(504)/(9.8)* 8.53+504\\\Rightarrow W_n=942.68\ N`

Scale reading while the elevator is accelerating upward is 942.68 N.