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Answered

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diane has a weight of 490 N. Whats her power output on watts and in horsepower when she climbs a stairs of 7 m high in just 9.5 seconds?

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 = (490 N)(7 m)

W = 3,430 J

Solving for P in watts

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

[tex]P = \dfrac{\text{3,430 J}}{\text{9.5 s}}[/tex]

P = 361.0526 W

[tex]\boxed{P = \text{361.05 W}}[/tex]

Solving for P in horsepower

[tex]P = \text{361.0526 W} \times \dfrac{\text{1 hp}}{\text{746 W}}[/tex]

[tex]\boxed{P = \text{0.484 hp}}[/tex]

[tex]\\[/tex]

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