Question

Messy with a mass of 440 lbs walks up a flight of stairs 120 centimeters high in 30 seconds. What power has she used? Express your answer in horse power.

Answer 1

Answer on Question 65919, Physics, Mechanics

Question:

Messy with a mass of 440 lbs walks up a flight of stairs 120 cm high in 30 seconds. What power has she used? Express your answer in horse power.

Solution:

By the definition of the power we have:

$$P = \frac {W}{t} = \frac {F h}{t} = \frac {m g h}{t} = \frac {4 4 0 l b s \cdot \left(\frac {0 . 4 5 3 5 9 2 3 7 k g}{1 l b s}\right) \cdot 9 . 8 \frac {m}{s ^ {2}} \cdot 1 . 2 0 m}{3 0 s} = 7 8. 2 3 W.$$

Let's convert watts to horse power:

$$P _ {(h p)} = \frac {P _ {(W)}}{7 4 5 . 6} = \frac {7 8 . 2 3 W}{7 4 5 . 6} = 0. 1 0 5 h p.$$

Answer:

$$P = 0. 1 0 5 h p.$$

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