[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 t
[tex]P = \dfrac{W}{t}[/tex]
[tex]t = \dfrac{W}{P}[/tex]
[tex]t = \dfrac{\text{500,000 J}}{\text{278,000 W}}[/tex]
[tex]\boxed{t = \text{1.80 s}}[/tex]
Therefore, the time taken is 1.80 s
[tex]\\[/tex]
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