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A 560 N woman runs up a staircase which is 12.5 m high in 9.6 s. How much power did she use up?

Sagot :

[tex]\tt{\huge{\blue{Explanation:}}}[/tex]

The power of an object doing a work W in a given time t is given by

[tex]\boxed{P = \frac{W}{t}}[/tex]

where:

P = power

W = work

t = time

[tex]\tt{\huge{\red{Solution:}}}[/tex]

Solving for W

W = Fd

W = (560 N)(12.5 m)

W = 7,000 J

Solving for P

[tex]P = \dfrac{W}{t}[/tex]

[tex]P = \dfrac{\text{7,000 J}}{\text{9.6 s}}[/tex]

[tex]\boxed{P = \text{729.17 W}}[/tex]

Therefore, the amount of power used up is 729.17 W.

[tex]\\[/tex]

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