Question

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

Answer 1

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!