joash has 88 W of power while lifting a box to a height of 13 m. In doing so, he exerts 235N of force. How long did he do the task?​

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 = (235 N)(13 m)

W = 3,055 J

Solving for t

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

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

[tex]t = \dfrac{\text{3,055 J}}{\text{88 W}}[/tex]

[tex]\boxed{t = \text{34.72 s}}[/tex]

Therefore, the time taken is 34.72 s

[tex]\\[/tex]

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