High School

To calculate the acceleration of the elevator, you can use the following formula: Acceleration = (Reading on Scale - Actual Weight) / Mass Given that the reading on the scale is 108 lb and the actual weight is 126 lb, the acceleration can be calculated as: Acceleration = (108 lb - 126 lb) / Mass Acceleration = (-18 lb) / Mass Since weight is a force and force is equal to mass times acceleration (F = ma), you can rearrange the formula to solve for mass: Mass = -18 lb / Acceleration If the elevator is moving upward, the acceleration will be negative (deceleration). If it's moving downward, the acceleration will be positive. Please provide the direction of motion to determine the sign of acceleration.

Answer :

Final answer:

The direction of motion determines the sign of acceleration in an elevator. If moving upward, acceleration is negative; if moving downward, acceleration is positive.

Explanation:

To determine the sign of the acceleration in an elevator, we need to know the direction of motion. If the elevator is moving upward, the acceleration will be negative, indicating deceleration. On the other hand, if the elevator is moving downward, the acceleration will be positive. The formula to calculate acceleration is:

Acceleration = (Reading on Scale - Actual Weight) / Mass

Using the given values of a reading on the scale of 108 lb and an actual weight of 126 lb, we can substitute them into the formula to find the acceleration.

Acceleration = (108 lb - 126 lb) / Mass

Finally, we can rearrange the formula to find the mass:

Mass = -18 lb / Acceleration

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