a 70.o kg student runs up a 5.00 meter high stairway in a time of 5 seconds. how many watts of power did she develop?

m g h / t

70 * 9.8 * 5 / 5 = 686 Joules per second or Watts

To calculate the power developed by the student, we can use the formula:

Power = Work / Time.

To find the work done by the student, we need to calculate the amount of potential energy gained while climbing the stairs.

The potential energy (PE) gained is given by the formula:

PE = mgh,

where m is the mass, g is the acceleration due to gravity (9.8 m/s²), and h is the height of the stairs.

Let's calculate the potential energy gained by the student:

PE = (70.0 kg) * (9.8 m/s²) * (5.00 m)

PE = 3430 J (joules)

Now we can calculate the power:

Power = Work / Time

Power = PE / Time

Power = 3430 J / 5 s

Power = 686 W (watts)

Therefore, the student developed 686 watts of power while running up the stairway.