To find the power when [tex]\(600 \, \text{J}\)[/tex] of work is done in [tex]\(3 \, \text{s}\)[/tex], we use the formula for power:
[tex]\[ P = \frac{W}{t} \][/tex]
where
- [tex]\( P \)[/tex] is the power,
- [tex]\( W \)[/tex] is the work done,
- [tex]\( t \)[/tex] is the time taken.
Substitute the given values into the formula:
[tex]\[ W = 600 \, \text{J} \][/tex]
[tex]\[ t = 3 \, \text{s} \][/tex]
Now, calculate the power:
[tex]\[ P = \frac{600 \, \text{J}}{3 \, \text{s}} \][/tex]
[tex]\[ P = 200 \, \text{W} \][/tex]
Therefore, the power is [tex]\( \boxed{200 \, \text{W}} \)[/tex].
