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The girl whose mass is 65 kg runs 7.5 m high in 10 seconds. Find the power in watts expended by the girl.

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 F

F = weight = mg

F = (65 kg)(9.8 m/s²)

F = 637 N

Solving for W

W = Fd

W = (637 N)(7.5 m)

W = 4,777.5 J

Solving for P

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

[tex]P = \dfrac{\text{4,777.5 J}}{\text{10 s}}[/tex]

[tex]\boxed{P = \text{477.75 W}}[/tex]

Therefore, the power expended by the girl is 477.75 W.

[tex]\\[/tex]

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