A 55 kilogram person and a 65 kilogram person climb 8 meters up a flight of stairs in 10 seconds. Compare power used by each person

To compare the power used by each person, we need to know their individual power outputs. Power is defined as the rate at which work is done or energy is transferred. In this case, work done is defined as the force applied multiplied by the distance traveled.

The work done in climbing the stairs can be calculated using the formula: work = force x distance.

In this situation, the force is equal to the weight of each person (mass x acceleration due to gravity). The distance is given as 8 meters.

Let's calculate the force and work done for each person:

For the 55-kilogram person:
Force = mass x acceleration due to gravity
= 55 kg x 9.8 m/s^2
= 539 Newtons

Work done = force x distance
= 539 N x 8 m
= 4312 Joules

For the 65-kilogram person:
Force = mass x acceleration due to gravity
= 65 kg x 9.8 m/s^2
= 637 Newtons

Work done = force x distance
= 637 N x 8 m
= 5096 Joules

Now, to compare the power used by each person, we need to divide the work done by the time taken. The time taken is given as 10 seconds.

For the 55-kilogram person:
Power = work done / time taken
= 4312 J / 10 s
= 431.2 Watts

For the 65-kilogram person:
Power = work done / time taken
= 5096 J / 10 s
= 509.6 Watts

Therefore, the 55-kilogram person used 431.2 Watts of power, while the 65-kilogram person used 509.6 Watts of power.