Question

hiro walks up a flight of stairs in his apartment building. later in the day, he runs up the same flight of stairs. which statement about work and power describes hiro’s actions? he did more work running than walking. he did more work walking than running. he had more power running than walking. he had more power walking than running.

Explanation:

1. Recall the formula for work: \( W = Fd \) (where \( F \) is force, \( d \) is distance). When Hiro walks or runs up the same stairs, his weight (force due to gravity) and the vertical distance of the stairs (distance) are the same. So, \( W_{walking}=W_{running} \), eliminating the first two options.
2. Recall the formula for power: \( P=\frac{W}{t} \) (where \( W \) is work, \( t \) is time). Running up the stairs takes less time (\( t_{running}P_{walking} \), meaning he had more power running than walking.

Answer:

He had more power running than walking.