What is the average power supplied by a 60.0 kg person running up a flight of stairs a vertical distance of 4.0 m in 4.2 s?

The supplied by the 60.0-kg person is 560 W.

Power is done over time and is measured in watts, W . ##1"W"=1"J/s"##. Work is force applied over a distance, and is measured in Joules, J . ##1"J"=1 "N"*"m"##.

##P=(Fxxd)/t##

Given/Known ##F=mg=(60.0"kg"xx9.81"m/s"^2")=588.6 N"## ##d="4.0 m"## ##t="4.2 s"##

Unknown ##"Power": P##

Solution Substitute the given/known values into the equation for power and solve.

##P=(588.6"N"xx4.0"m")/(4.2"s")##

##P=560("N"*"m")/s"="560"J"/"s"=560 "W"## (rounded to two significant figures)