Answer : The acceleration of the elevator is, [tex]2.25m/s^2[/tex]
Explanation :
Formula used to calculate the acceleration of the elevator is:
[tex]F=mg+ma\\\\ma=F-mg\\\\a=\frac{F-mg}{m}[/tex]
where,
F = force = 844 M
m = mass of man = 70 kg
g = acceleration due to gravity = [tex]9.8m/s^2[/tex]
a = acceleration of the elevator = ?
Now put all the given values in the above formula, we get:
[tex]a=\frac{F-mg}{m}[/tex]
[tex]a=\frac{844N-(70kg\times 9.8m/s^2)}{70kg}[/tex]
[tex]a=2.25m/s^2[/tex]
Thus, the acceleration of the elevator is, [tex]2.25m/s^2[/tex]
