Question

A champion athlete can produce one horsepower (746 W) for a short period of time. If a 70-kg athlete were to bicycle to the summit of a 500-m high mountain while expending power at this rate, she would have used at least ____ J of energy

Answer 1

343000 J

Step-by-step explanation:

P = Power produced by champion = 756 W

h = height gained by the athlete = 500 m

m = mass of the athlete = 70 kg

E = Least amount of energy

Least amount of energy is same as the potential energy gained , So using conservation of energy

Energy spent by athlete = Gravitational potential energy

`E = mgh`

E = (70) (9.8) (500)

E = 343000 J