1. The problem states that the acceleration due to gravity is given as $g = 10 \text{ m/s}^2$. 2. This value is often used in physics problems involving free fall, projectile motion, or mechanical systems like elevators and pulleys. 3. The numbers 1) 5, 2) 6, 3) 3, 4) 4 appear to be options or steps but without further context, we focus on the given $g$ value. 4. In the context of the pulley motor and elevator system described, $g$ is used to calculate forces such as weight $W = mg$ where $m$ is mass. 5. For example, if the elevator mass is $m$, the weight force pulling down is $W = m \times 10$. 6. This force is counteracted by the motor through the rope and pulley system to lift the elevator. 7. Understanding $g$ helps analyze the mechanical advantage and tension in the rope. Final answer: The acceleration due to gravity used in calculations is $g = 10 \text{ m/s}^2$.