[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]
F = weight = mg
F = (340 kg)(9.8 m/s²)
F = 3,332 N
W = Fd
W = (3,332 N)(1.75 m)
W = 5,831 J
Note: 0.5 min = 30 s
[tex]P = \dfrac{W}{t}[/tex]
[tex]P = \dfrac{\text{5,831 J}}{\text{30 s}}[/tex]
[tex]\boxed{P = \text{194.37 W}}[/tex]
Therefore, the power is 194.37 W.
[tex]\\[/tex]
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