Answer:
The acceleration of the elevator is 1.8 m/s².
Step-by-step explanation:
Given that,
Mass of elevator = 625 kg
Tension = 7250 N
We need to calculate the acceleration
Using equation of balance
![T-mg=ma](https://img.qammunity.org/2020/formulas/physics/college/zhrzjrwioi5rtrla8s4auw70wl3db8cl96.png)
Where, T = tension
m = mass
a = acceleration
Put the value into the formula
![7250-625*9.8=625* a](https://img.qammunity.org/2020/formulas/physics/high-school/1fodwmm8qxgbuz1whue9attt9ytg14tjb8.png)
![a=(7250-625*9.8)/(625)](https://img.qammunity.org/2020/formulas/physics/high-school/iv1bfw31l0cmeu1kn4g1xvzi08gp321hsj.png)
![a=1.8\ m/s^2](https://img.qammunity.org/2020/formulas/physics/high-school/6dgg5mhw4k9fuaz3zaj4gyvffbyqcsza62.png)
Hence, The acceleration of the elevator is 1.8 m/s².