Answer:
The average power developed by a motor is 4905 Watts.
Explanation:
The average power is given by:
[tex] P = \frac{W}{t} [/tex]
Where:
W: is the work
t: is the time = 8.0 s
First, let's find the work:
[tex] W = F*d [/tex]
Where:
F: is the force
d: is the displacement = 10.0 m
The force is in the vertical motion, and since the movement of the mass is at constant speed the force is:
[tex] F = mg = 400 kg*9.81 m/s^{2} = 3924 N [/tex]
Hence, the average power is:
[tex] P = \frac{F*d}{t} = \frac{3924 N*10.0 m}{8.0 s} = 4905 J/s = 4905 W [/tex]
Therefore, the average power developed by a motor is 4905 Watts.
I hope it helps you!
The average power developed by a motor as it lifts the mass is 4,900 W.
The given parameters:
The average power developed by a motor as it lifts the mass is calculated as follows;
[tex]P = \frac{E}{t} \\\\P = \frac{mgh}{t} \\\\P = \frac{400 \times 9.8 \times 10}{8} \\\\P = 4,900 \ J/s[/tex]
Thus, the average power developed by a motor as it lifts the mass is 4,900 W.
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