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Fittoniya [83]
3 years ago
10

What is the average power developed by a motor as it lifts a 400.-kilogram mass at constant speed through a vertical distance of

10.0 meters in 8.0 seconds
Physics
1 answer:
Tomtit [17]3 years ago
3 0

Answer:

The average power developed by a motor is 4905 Watts.

Explanation:

The average power is given by:

P = \frac{W}{t}

Where:

W: is the work

t: is the time = 8.0 s

First, let's find the work:

W = F*d

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:

F = mg = 400 kg*9.81 m/s^{2} = 3924 N

Hence, the average power is:

P = \frac{F*d}{t} = \frac{3924 N*10.0 m}{8.0 s} = 4905 J/s = 4905 W                    

Therefore, the average power developed by a motor is 4905 Watts.

I hope it helps you!                  

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