Question

Two workers, A and B are being considered for a job at the UPS loading dock. Person A boasts that he can lift a 100 N box 5.0 meters vertically, in 4.0 seconds. Person B counters with his claim of lifting a 100 N box 5.0 meters vertically, in 10 seconds.

A. How much work was required to lift the boxes?
B. Which worker has a greater power rating?

Answer 1

Person A and Person B both require 500 J of work to lift the boxes, but Person A has a greater power rating of 125 W compared to Person B's 50 W.

Step-by-step explanation:

To calculate the work required to lift the boxes, we use the formula:

Work = Force × Distance

For Person A, the work required is:

Work = 100 N × 5.0 m = 500 J

For Person B, the work required is:

Work = 100 N × 5.0 m = 500 J

The work required to lift the boxes is the same for both workers, which is 500 J.

The power rating of a worker is given by the formula:

Power = Work / Time

For Person A, the power rating is:

Power = 500 J / 4.0 s = 125 W

For Person B, the power rating is:

Power = 500 J / 10 s = 50 W

Therefore, Person A has a greater power rating than Person B, with 125 W compared to 50 W.