Final answer:
Jesse and Dave did the same amount of work, but Jesse generated more power by completing the work in a shorter time. Power is the rate of doing work and is dependent on both the work done and the time taken to do it.
Step-by-step explanation:
Jesse and Dave are both helping to build a brick wall which is 6 meters in height. Considering they each lay 250 bricks, the amount of work done by both is the same. Work in physics is defined as the force applied to an object times the distance the object is moved.
Since they are moving the same number of bricks the same distance vertically to build a wall, the work done is equal. However, power is the rate at which work is done, and it is given by the formula Power = Work / Time.
Since Jesse finishes laying the bricks in 3 hours and Dave takes 4.5 hours, Jesse has a higher power output because he does the same work in less time. To illustrate this further, consider a person who does 6.00×106 J of useful work in 8.00 hours.
The average useful power output would be the work done divided by the time in seconds. If we use this rate to determine how long it would take to lift 2000 kg of bricks a height of 1.50 m, the time can be found by rearranging the power formula to solve for time.
If we compare it to carrying objects to a height, carrying a heavier object does not necessarily mean more power is used unless the time taken into account is the same or less. Power depends on both the amount of work done and the time taken to do that work.