A small electric motor is used to lift a

0.50-kilogram mass at constant speed. If the
mass is lifted a vertical distance of 1.5 meters in
5.0 seconds, the average power developed by the
motor is

calculate the power out in watts and horse power of an 80 kg man that climbs a flight of stairs 5.8m high in 4.0s.

change in potential energy = m g h

energy/time = power = m g h /t

= .50 * 9.81 * 1.5 / 5

Joules/second or Watts

To find the average power developed by the motor, we can use the formula:

Power = Work/Time

The work done to lift an object against gravity can be calculated using the formula:

Work = Force x Distance

The force required to lift the object can be calculated using Newton's second law:

Force = mass x acceleration

Since the object is lifted at a constant speed, the acceleration is zero. Therefore, the force required to lift the object is equal to its weight, which can be calculated as:

Force = mass x gravity

Where gravity is the acceleration due to gravity, which is approximately 9.8 m/s^2.

Let's calculate the force first:

Force = 0.50 kg x 9.8 m/s^2
Force = 4.9 N

Now, let's calculate the work done:

Work = Force x Distance
Work = 4.9 N x 1.5 m
Work = 7.35 J

Finally, let's calculate the average power developed by the motor:

Power = Work/Time
Power = 7.35 J / 5.0 s
Power = 1.47 W

Therefore, the average power developed by the motor is 1.47 watts.

To calculate the average power developed by the motor, we can use the formula:

Power = Work / Time

Work is the amount of energy transferred to lift the mass, and it can be calculated using the formula:

Work = Force * Distance

The force exerted by the motor can be calculated using Newton's second law:

Force = Mass * Acceleration

Acceleration is the rate of change of velocity, and since the mass is lifted at a constant speed, the acceleration is zero. Therefore, the force exerted by the motor is:

Force = Mass * 0

Combining these formulas, we have:

Power = (Force * Distance) / Time
Power = (Mass * 0 * Distance) / Time
Power = 0

Since the force exerted by the motor is zero, the average power developed by the motor is also zero.