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what power is expended in lifting a 50kg weight to a height of 20m in 1 minute ​

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 = (50 kg)(9.8 m/s²)

F = 490 N

Solving for W

W = Fd

W = (490 N)(20 m)

W = 9,800 J

Solving for P

Note: 1 min = 60 s

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

[tex]P = \dfrac{\text{9,800 J}}{\text{60 s}}[/tex]

[tex]\boxed{P = \text{163.33 W}}[/tex]

Therefore, the amount of power expended is 163.33 W.

[tex]\\[/tex]

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