<h2>
Answer:</h2>
3.24
<h2>
Explanation:</h2><h2>
</h2>
Using Newton's law of motion,
F = ma ..........................(i)
where;
F = net force acting on the object (or body)
m = mass of the object (or body)
a = acceleration of the body.
<em>In this case,</em>
Two forces are acting;
(i)The weight (W) of the man = m x g = 62 x 10 = 620N
(ii)The tension (T) on the scale of the elevator = 821N
The weight(W) of the man is a downward force while the tension (T) on the scale of the elevator is an upward force. Since the elevator rises upward is positive.
Therefore,
Net force (F) = Total upward force(s) - Total downward force(s)
Net force (F) = 821 - 620
F = 201N
To calculate the acceleration of the elevator,
substitute the values of F = 201N and m = 62 into equation (i) above;
=> F = ma
=> 201 = 62 x a
=> a = 210 / 62
=> a = 3.24
Therefore the acceleration of the elevator is 3.24