Answer:
a) m =589.734kg
b) n = 8 people (rounded down)
Explanation:
The first step is to calculate the maximum load after safety considerations (

Since we know that the maximum tension the cables can withstand is 19500N (or 19.5kN). To calculate (
we multiply this value by
(as per the given safety consideration.
Hence

a) Now to find the maximum load in kgs, we use the following formula

Where
= mass of elevator
= maximum load
= acceleration due to gravity
= maximum acceleration of elevator
Inputting the values and solving

Hence the maximum load is m =589.734kg
b) To find the number of people (n) we divide the value of m by 70kg
n = 589.734 / 70
n = 8.42 or 8 people