Question

A 625 kg elevator is pulled upward by a cable that exerts a 7250 N force. What is the acceleration of the elevator?(Don't forget its weight)

Answer 1

Answer:

The acceleration of the elevator is 1.8 m/s².

Explanation:

Given that,

Mass of elevator = 625 kg

Tension = 7250 N

We need to calculate the acceleration

Using equation of balance

$T-mg=ma$

Where, T = tension

m = mass

a = acceleration

Put the value into the formula

$7250-625\times9.8=625\times a$

$a=\dfrac{7250-625\times9.8}{625}$

$a=1.8\ m/s^2$

Hence, The acceleration of the elevator is 1.8 m/s².